59468040 has 256 divisors, whose sum is σ = 217728000. Its totient is φ = 14376960.

The previous prime is 59468033. The next prime is 59468051. The reversal of 59468040 is 4086495.

59468040 is a `hidden beast` number, since 594 + 68 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 59467986 and 59468004.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 752721 + ... + 752799.

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

Almost surely, 2^59468040 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 59468040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864000).

59468040 is an abundant number, since it is smaller than the sum of its proper divisors (158259960).

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

59468040 is a wasteful number, since it uses less digits than its factorization.

59468040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 59468040 is about 7711.5523729013. The cubic root of 59468040 is about 390.3263540480.

The spelling of 59468040 in words is "fifty-nine million, four hundred sixty-eight thousand, forty".