632160000 has 270 divisors, whose sum is σ = 2282800520. Its totient is φ = 168192000.

The previous prime is 632159987. The next prime is 632160007. The reversal of 632160000 is 61236.

It is a happy number.

632160000 is a `hidden beast` number, since 63 + 2 + 1 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632160007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1439781 + ... + 1440219.

Almost surely, 2^632160000 is an apocalyptic number.

632160000 is a gapful number since it is divisible by the number (60) 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 632160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141400260).

632160000 is an abundant number, since it is smaller than the sum of its proper divisors (1650640520).

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

632160000 is an equidigital number, since it uses as much as digits as its factorization.

632160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 632160000 is about 25142.7922077084. The cubic root of 632160000 is about 858.2404985425.

The spelling of 632160000 in words is "six hundred thirty-two million, one hundred sixty thousand".