10937664 has 84 divisors (see below), whose sum is σ = 33224724. Its totient is φ = 3428352.

The previous prime is 10937639. The next prime is 10937671. The reversal of 10937664 is 46673901.

It can be written as a sum of positive squares in 2 ways, for example, as 3968064 + 6969600 = 1992^2 + 2640^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9234 + ... + 10350.

Almost surely, 2^10937664 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 10937664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16612362).

10937664 is an abundant number, since it is smaller than the sum of its proper divisors (22287060).

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

10937664 is a wasteful number, since it uses less digits than its factorization.

10937664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 10937664 is about 3307.2139332072. The cubic root of 10937664 is about 221.9771098873.

It can be divided in two parts, 109 and 37664, that added together give a palindrome (37773).

The spelling of 10937664 in words is "ten million, nine hundred thirty-seven thousand, six hundred sixty-four".