59640672 has 96 divisors (see below), whose sum is σ = 192713472. Its totient is φ = 15727104.

The previous prime is 59640671. The next prime is 59640703. The reversal of 59640672 is 27604695.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×59640672³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 59640672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59640671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5323 + ... + 12149.

It is an arithmetic number, because the mean of its divisors is an integer number (2007432).

Almost surely, 2^59640672 is an apocalyptic number.

59640672 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59640672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96356736).

59640672 is an abundant number, since it is smaller than the sum of its proper divisors (133072800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

59640672 is a wasteful number, since it uses less digits than its factorization.

59640672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6860 (or 6852 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 59640672 is about 7722.7373385348. The cubic root of 59640672 is about 390.7036868215.

The spelling of 59640672 in words is "fifty-nine million, six hundred forty thousand, six hundred seventy-two".