921612800 has 120 divisors (see below), whose sum is σ = 2311877700. Its totient is φ = 364052480.

The previous prime is 921612787. The next prime is 921612833. The reversal of 921612800 is 8216129.

It can be written as a sum of positive squares in 6 ways, for example, as 376670464 + 544942336 = 19408^2 + 23344^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1138796 + ... + 1139604.

Almost surely, 2^921612800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 921612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155938850).

921612800 is an abundant number, since it is smaller than the sum of its proper divisors (1390264900).

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

921612800 is an equidigital number, since it uses as much as digits as its factorization.

921612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 921612800 is about 30358.0763553951. The cubic root of 921612800 is about 973.1568246057.

Adding to 921612800 its reverse (8216129), we get a palindrome (929828929).

The spelling of 921612800 in words is "nine hundred twenty-one million, six hundred twelve thousand, eight hundred".