64913760 has 144 divisors (see below), whose sum is σ = 225454320. Its totient is φ = 17003520.

The previous prime is 64913753. The next prime is 64913767. The reversal of 64913760 is 6731946.

64913760 is a `hidden beast` number, since 649 + 1 + 3 + 7 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (64913753) and next prime (64913767).

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64913767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87471 + ... + 88209.

It is an arithmetic number, because the mean of its divisors is an integer number (1565655).

Almost surely, 2^64913760 is an apocalyptic number.

64913760 is a gapful number since it is divisible by the number (60) 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 64913760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112727160).

64913760 is an abundant number, since it is smaller than the sum of its proper divisors (160540560).

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

64913760 is a wasteful number, since it uses less digits than its factorization.

64913760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 64913760 is about 8056.9075953495. The cubic root of 64913760 is about 401.8946779852.

The spelling of 64913760 in words is "sixty-four million, nine hundred thirteen thousand, seven hundred sixty".