632091240 has 384 divisors, whose sum is σ = 2444083200. Its totient is φ = 139968000.

The previous prime is 632091181. The next prime is 632091281. The reversal of 632091240 is 42190236.

632091240 is a `hidden beast` number, since 632 + 0 + 9 + 1 + 24 + 0 = 666.

632091240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2332305 + ... + 2332575.

It is an arithmetic number, because the mean of its divisors is an integer number (6364800).

Almost surely, 2^632091240 is an apocalyptic number.

632091240 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 632091240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222041600).

632091240 is an abundant number, since it is smaller than the sum of its proper divisors (1811991960).

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

632091240 is a wasteful number, since it uses less digits than its factorization.

632091240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 632091240 is about 25141.4247806285. The cubic root of 632091240 is about 858.2093804941.

The spelling of 632091240 in words is "six hundred thirty-two million, ninety-one thousand, two hundred forty".