10652800 has 48 divisors (see below), whose sum is σ = 26323650. Its totient is φ = 4259840.

The previous prime is 10652797. The next prime is 10652819. The reversal of 10652800 is 825601.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 7354944 + 3297856 = 2712^2 + 1816^2 .

It is a super-2 number, since 2×10652800² = 226964295680000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1536 + ... + 4864.

Almost surely, 2^10652800 is an apocalyptic number.

10652800 is a gapful number since it is divisible by the number (10) 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 10652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13161825).

10652800 is an abundant number, since it is smaller than the sum of its proper divisors (15670850).

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

10652800 is an equidigital number, since it uses as much as digits as its factorization.

10652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 10652800 is about 3263.8627422121. The cubic root of 10652800 is about 220.0330528851.

The spelling of 10652800 in words is "ten million, six hundred fifty-two thousand, eight hundred".