10649664 has 56 divisors (see below), whose sum is σ = 31313120. Its totient is φ = 3549312.

The previous prime is 10649663. The next prime is 10649693. The reversal of 10649664 is 46694601.

10649664 is a `hidden beast` number, since 1 + 0 + 649 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×10649664² = 226830686625792, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10649663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1354 + ... + 4809.

Almost surely, 2^10649664 is an apocalyptic number.

It is an amenable number.

10649664 is an abundant number, since it is smaller than the sum of its proper divisors (20663456).

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

10649664 is an equidigital number, since it uses as much as digits as its factorization.

10649664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6184 (or 6168 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 10649664 is about 3263.3822944914. The cubic root of 10649664 is about 220.0114594582.

It can be divided in two parts, 106 and 49664, that added together give a triangular number (49770 = T₃₁₅).

The spelling of 10649664 in words is "ten million, six hundred forty-nine thousand, six hundred sixty-four".