59264040 has 256 divisors, whose sum is σ = 217728000. Its totient is φ = 12718080.

The previous prime is 59264003. The next prime is 59264041. The reversal of 59264040 is 4046295.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 59263989 and 59264007.

It is not an unprimeable number, because it can be changed into a prime (59264041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 426291 + ... + 426429.

It is an arithmetic number, because the mean of its divisors is an integer number (850500).

Almost surely, 2^59264040 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 59264040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864000).

59264040 is an abundant number, since it is smaller than the sum of its proper divisors (158463960).

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

59264040 is a wasteful number, since it uses less digits than its factorization.

59264040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 59264040 is about 7698.3141011523. The cubic root of 59264040 is about 389.8795157078.

The spelling of 59264040 in words is "fifty-nine million, two hundred sixty-four thousand, forty".