632472960 has 128 divisors (see below), whose sum is σ = 2304057600. Its totient is φ = 144562176.

The previous prime is 632472959. The next prime is 632472961. The reversal of 632472960 is 69274236.

It is an interprime number because it is at equal distance from previous prime (632472959) and next prime (632472961).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632472961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10090 + ... + 36969.

It is an arithmetic number, because the mean of its divisors is an integer number (18000450).

Almost surely, 2^632472960 is an apocalyptic number.

632472960 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 632472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152028800).

632472960 is an abundant number, since it is smaller than the sum of its proper divisors (1671584640).

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

632472960 is a wasteful number, since it uses less digits than its factorization.

632472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47088 (or 47076 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 632472960 is about 25149.0150900587. The cubic root of 632472960 is about 858.3821033233.

The spelling of 632472960 in words is "six hundred thirty-two million, four hundred seventy-two thousand, nine hundred sixty".