10521264 has 60 divisors (see below), whose sum is σ = 29454216. Its totient is φ = 3234816.

The previous prime is 10521263. The next prime is 10521289. The reversal of 10521264 is 46212501.

It is a super-2 number, since 2×10521264² = 221393992315392, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10521264.

It is not an unprimeable number, because it can be changed into a prime (10521263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7464 + ... + 8760.

Almost surely, 2^10521264 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 10521264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14727108).

10521264 is an abundant number, since it is smaller than the sum of its proper divisors (18932952).

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

10521264 is a wasteful number, since it uses less digits than its factorization.

10521264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 10521264 is about 3243.6497961401. The cubic root of 10521264 is about 219.1236765199.

Adding to 10521264 its reverse (46212501), we get a palindrome (56733765).

The spelling of 10521264 in words is "ten million, five hundred twenty-one thousand, two hundred sixty-four".