921960000 has 420 divisors, whose sum is σ = 3574302732. Its totient is φ = 225792000.

The previous prime is 921959993. The next prime is 921960007. The reversal of 921960000 is 69129.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (921959993) and next prime (921960007).

It can be written as a sum of positive squares in 10 ways, for example, as 603979776 + 317980224 = 24576^2 + 17832^2 .

It is not an unprimeable number, because it can be changed into a prime (921960007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4679902 + ... + 4680098.

Almost surely, 2^921960000 is an apocalyptic number.

921960000 is a gapful number since it is divisible by the number (90) 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 921960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787151366).

921960000 is an abundant number, since it is smaller than the sum of its proper divisors (2652342732).

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

921960000 is a wasteful number, since it uses less digits than its factorization.

921960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 921960000 is about 30363.7942293120. The cubic root of 921960000 is about 973.2790153379.

The spelling of 921960000 in words is "nine hundred twenty-one million, nine hundred sixty thousand".