632903040 has 384 divisors, whose sum is σ = 2726680320. Its totient is φ = 131420160.

The previous prime is 632903021. The next prime is 632903069. The reversal of 632903040 is 40309236.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 632902995 and 632903013.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 442807 + ... + 444233.

It is an arithmetic number, because the mean of its divisors is an integer number (7100730).

Almost surely, 2^632903040 is an apocalyptic number.

632903040 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 632903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363340160).

632903040 is an abundant number, since it is smaller than the sum of its proper divisors (2093777280).

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

632903040 is a wasteful number, since it uses less digits than its factorization.

632903040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 632903040 is about 25157.5642700163. The cubic root of 632903040 is about 858.5766251190.

The spelling of 632903040 in words is "six hundred thirty-two million, nine hundred three thousand, forty".