59402112 has 256 divisors, whose sum is σ = 205632000. Its totient is φ = 15052800.

The previous prime is 59402099. The next prime is 59402117. The reversal of 59402112 is 21120495.

It is a super-2 number, since 2×59402112² = 7057221820121088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59402117) 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 31 ways as a sum of consecutive naturals, for example, 1448812 + ... + 1448852.

It is an arithmetic number, because the mean of its divisors is an integer number (803250).

Almost surely, 2^59402112 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 59402112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102816000).

59402112 is an abundant number, since it is smaller than the sum of its proper divisors (146229888).

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

59402112 is a wasteful number, since it uses less digits than its factorization.

59402112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 59402112 is about 7707.2765617954. The cubic root of 59402112 is about 390.1820583258.

The spelling of 59402112 in words is "fifty-nine million, four hundred two thousand, one hundred twelve".