10508264 has 32 divisors (see below), whose sum is σ = 21504000. Its totient is φ = 4784832.

The previous prime is 10508243. The next prime is 10508269. The reversal of 10508264 is 46280501.

10508264 = 325² + 326² + ... + 403².

It is a super-2 number, since 2×10508264² = 220847224587392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (10508269) 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 7 ways as a sum of consecutive naturals, for example, 7577 + ... + 8855.

It is an arithmetic number, because the mean of its divisors is an integer number (672000).

Almost surely, 2^10508264 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 10508264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10752000).

10508264 is an abundant number, since it is smaller than the sum of its proper divisors (10995736).

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

10508264 is a wasteful number, since it uses less digits than its factorization.

10508264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 10508264 is about 3241.6452612832. The cubic root of 10508264 is about 219.0333900980.

Adding to 10508264 its reverse (46280501), we get a palindrome (56788765).

The spelling of 10508264 in words is "ten million, five hundred eight thousand, two hundred sixty-four".