59275968 has 112 divisors (see below), whose sum is σ = 169322496. Its totient is φ = 18247680.

The previous prime is 59275949. The next prime is 59275969. The reversal of 59275968 is 86957295.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 59275968.

It is not an unprimeable number, because it can be changed into a prime (59275969) 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 15 ways as a sum of consecutive naturals, for example, 136680 + ... + 137112.

It is an arithmetic number, because the mean of its divisors is an integer number (1511808).

Almost surely, 2^59275968 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 59275968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84661248).

59275968 is an abundant number, since it is smaller than the sum of its proper divisors (110046528).

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

59275968 is a wasteful number, since it uses less digits than its factorization.

59275968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 492 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 51.

The square root of 59275968 is about 7699.0887772515. The cubic root of 59275968 is about 389.9056708091.

The spelling of 59275968 in words is "fifty-nine million, two hundred seventy-five thousand, nine hundred sixty-eight".