632585376 has 216 divisors, whose sum is σ = 1964106144. Its totient is φ = 200154240.

The previous prime is 632585333. The next prime is 632585377. The reversal of 632585376 is 673585236.

632585376 is a `hidden beast` number, since 6 + 32 + 585 + 37 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×632585376² = 800328515858122752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (632585377) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4828831 + ... + 4828961.

It is an arithmetic number, because the mean of its divisors is an integer number (9093084).

Almost surely, 2^632585376 is an apocalyptic number.

632585376 is the 12576-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 632585376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982053072).

632585376 is an abundant number, since it is smaller than the sum of its proper divisors (1331520768).

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

632585376 is an equidigital number, since it uses as much as digits as its factorization.

632585376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 159 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 632585376 is about 25151.2499888177. The cubic root of 632585376 is about 858.4329567047.

The spelling of 632585376 in words is "six hundred thirty-two million, five hundred eighty-five thousand, three hundred seventy-six".