10737664 has 72 divisors (see below), whose sum is σ = 25208820. Its totient is φ = 4558848.

The previous prime is 10737637. The next prime is 10737689. The reversal of 10737664 is 46673701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100299 + ... + 100405.

Almost surely, 2^10737664 is an apocalyptic number.

10737664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10737664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12604410).

10737664 is an abundant number, since it is smaller than the sum of its proper divisors (14471156).

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

10737664 is an equidigital number, since it uses as much as digits as its factorization.

10737664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 10737664 is about 3276.8374997854. The cubic root of 10737664 is about 220.6157953985.

The spelling of 10737664 in words is "ten million, seven hundred thirty-seven thousand, six hundred sixty-four".