10652964 has 48 divisors (see below), whose sum is σ = 29331456. Its totient is φ = 2944800.

The previous prime is 10652959. The next prime is 10653007. The reversal of 10652964 is 46925601.

10652964 = 71² + 72² + ... + 318².

It is a super-2 number, since 2×10652964² = 226971283970592, which contains 22 as substring.

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, 559 + ... + 4649.

It is an arithmetic number, because the mean of its divisors is an integer number (611072).

Almost surely, 2^10652964 is an apocalyptic number.

10652964 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 10652964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14665728).

10652964 is an abundant number, since it is smaller than the sum of its proper divisors (18678492).

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

10652964 is a wasteful number, since it uses less digits than its factorization.

10652964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4136 (or 4134 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 10652964 is about 3263.8878657209. The cubic root of 10652964 is about 220.0341820166.

The spelling of 10652964 in words is "ten million, six hundred fifty-two thousand, nine hundred sixty-four".