632718240 has 768 divisors, whose sum is σ = 2821754880. Its totient is φ = 115015680.

The previous prime is 632718239. The next prime is 632718253. The reversal of 632718240 is 42817236.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11938054 + ... + 11938106.

It is an arithmetic number, because the mean of its divisors is an integer number (3674160).

Almost surely, 2^632718240 is an apocalyptic number.

632718240 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 632718240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410877440).

632718240 is an abundant number, since it is smaller than the sum of its proper divisors (2189036640).

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

632718240 is a wasteful number, since it uses less digits than its factorization.

632718240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 632718240 is about 25153.8911502773. The cubic root of 632718240 is about 858.4930523358.

The spelling of 632718240 in words is "six hundred thirty-two million, seven hundred eighteen thousand, two hundred forty".