10821664 has 24 divisors (see below), whose sum is σ = 24349248. Its totient is φ = 4637760.

The previous prime is 10821647. The next prime is 10821677. The reversal of 10821664 is 46612801.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23932 + ... + 24379.

It is an arithmetic number, because the mean of its divisors is an integer number (1014552).

Almost surely, 2^10821664 is an apocalyptic number.

10821664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10821664 is an abundant number, since it is smaller than the sum of its proper divisors (13527584).

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

10821664 is an equidigital number, since it uses as much as digits as its factorization.

10821664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48328 (or 48320 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 10821664 is about 3289.6297664023. The cubic root of 10821664 is about 221.1895890904.

The spelling of 10821664 in words is "ten million, eight hundred twenty-one thousand, six hundred sixty-four".