59640224 has 48 divisors (see below), whose sum is σ = 135023616. Its totient is φ = 25401600.

The previous prime is 59640223. The next prime is 59640241. The reversal of 59640224 is 42204695.

59640224 = 21² + 22² + ... + 563².

It is a hoax number, since the sum of its digits (32) 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 (32).

It is not an unprimeable number, because it can be changed into a prime (59640223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39809 + ... + 41279.

It is an arithmetic number, because the mean of its divisors is an integer number (2812992).

Almost surely, 2^59640224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59640224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67511808).

59640224 is an abundant number, since it is smaller than the sum of its proper divisors (75383392).

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

59640224 is a wasteful number, since it uses less digits than its factorization.

59640224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 59640224 is about 7722.7083332209. The cubic root of 59640224 is about 390.7027085422.

The spelling of 59640224 in words is "fifty-nine million, six hundred forty thousand, two hundred twenty-four".