10638660 has 48 divisors (see below), whose sum is σ = 29941632. Its totient is φ = 2822400.

The previous prime is 10638631. The next prime is 10638697. The reversal of 10638660 is 6683601.

It is a super-2 number, since 2×10638660² = 226362173191200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16545 + ... + 17175.

It is an arithmetic number, because the mean of its divisors is an integer number (623784).

Almost surely, 2^10638660 is an apocalyptic number.

10638660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10638660 is an abundant number, since it is smaller than the sum of its proper divisors (19302972).

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

10638660 is a wasteful number, since it uses less digits than its factorization.

10638660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 10638660 is about 3261.6958779138. The cubic root of 10638660 is about 219.9356561142.

The spelling of 10638660 in words is "ten million, six hundred thirty-eight thousand, six hundred sixty".