10852800 has 336 divisors, whose sum is σ = 45354240. Its totient is φ = 2211840.

The previous prime is 10852763. The next prime is 10852841. The reversal of 10852800 is 825801.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 571191 + ... + 571209.

Almost surely, 2^10852800 is an apocalyptic number.

10852800 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 10852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22677120).

10852800 is an abundant number, since it is smaller than the sum of its proper divisors (34501440).

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

10852800 is a wasteful number, since it uses less digits than its factorization.

10852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 10852800 is about 3294.3588147013. The cubic root of 10852800 is about 221.4015209015.

The spelling of 10852800 in words is "ten million, eight hundred fifty-two thousand, eight hundred".