10638824 has 32 divisors (see below), whose sum is σ = 23587200. Its totient is φ = 4401600.

The previous prime is 10638781. The next prime is 10638833. The reversal of 10638824 is 42883601.

It is a super-2 number, since 2×10638824² = 226369152205952, which contains 22 as substring.

It is an unprimeable number.

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, 1652 + ... + 4899.

It is an arithmetic number, because the mean of its divisors is an integer number (737100).

Almost surely, 2^10638824 is an apocalyptic number.

10638824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10638824 is an abundant number, since it is smaller than the sum of its proper divisors (12948376).

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

10638824 is a wasteful number, since it uses less digits than its factorization.

10638824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6593 (or 6589 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 10638824 is about 3261.7210181130. The cubic root of 10638824 is about 219.9367862459.

The spelling of 10638824 in words is "ten million, six hundred thirty-eight thousand, eight hundred twenty-four".