10059264 has 120 divisors (see below), whose sum is σ = 30321720. Its totient is φ = 3207168.

The previous prime is 10059253. The next prime is 10059281. The reversal of 10059264 is 46295001.

10059264 is a `hidden beast` number, since 10 + 0 + 592 + 64 = 666.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170467 + ... + 170525.

It is an arithmetic number, because the mean of its divisors is an integer number (252681).

Almost surely, 2^10059264 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 10059264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15160860).

10059264 is an abundant number, since it is smaller than the sum of its proper divisors (20262456).

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

10059264 is an equidigital number, since it uses as much as digits as its factorization.

10059264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 10059264 is about 3171.6342790429. The cubic root of 10059264 is about 215.8682323907.

The spelling of 10059264 in words is "ten million, fifty-nine thousand, two hundred sixty-four".