631290240 has 512 divisors, whose sum is σ = 2714342400. Its totient is φ = 135364608.

The previous prime is 631290239. The next prime is 631290251. The reversal of 631290240 is 42092136.

631290240 is a `hidden beast` number, since 631 + 2 + 9 + 0 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2056167 + ... + 2056473.

It is an arithmetic number, because the mean of its divisors is an integer number (5301450).

Almost surely, 2^631290240 is an apocalyptic number.

631290240 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 631290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357171200).

631290240 is an abundant number, since it is smaller than the sum of its proper divisors (2083052160).

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

631290240 is a wasteful number, since it uses less digits than its factorization.

631290240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 341 counting only the distinct ones).

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

The square root of 631290240 is about 25125.4898459712. The cubic root of 631290240 is about 857.8467132880.

The spelling of 631290240 in words is "six hundred thirty-one million, two hundred ninety thousand, two hundred forty".