10509264 has 140 divisors (see below), whose sum is σ = 32934276. Its totient is φ = 3234816.

The previous prime is 10509259. The next prime is 10509283. The reversal of 10509264 is 46290501.

It can be written as a sum of positive squares in 2 ways, for example, as 7884864 + 2624400 = 2808^2 + 1620^2 .

It is a super-2 number, since 2×10509264² = 220889259643392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 198262 + ... + 198314.

Almost surely, 2^10509264 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 10509264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16467138).

10509264 is an abundant number, since it is smaller than the sum of its proper divisors (22425012).

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

10509264 is an equidigital number, since it uses as much as digits as its factorization.

10509264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 75 counting only the distinct ones).

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

The square root of 10509264 is about 3241.7995002776. The cubic root of 10509264 is about 219.0403378502.

Adding to 10509264 its reverse (46290501), we get a palindrome (56799765).

The spelling of 10509264 in words is "ten million, five hundred nine thousand, two hundred sixty-four".