632810640 has 320 divisors, whose sum is σ = 2474698752. Its totient is φ = 131028480.

The previous prime is 632810627. The next prime is 632810641. The reversal of 632810640 is 46018236.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 632810598 and 632810607.

It is not an unprimeable number, because it can be changed into a prime (632810641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2235939 + ... + 2236221.

Almost surely, 2^632810640 is an apocalyptic number.

632810640 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 632810640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237349376).

632810640 is an abundant number, since it is smaller than the sum of its proper divisors (1841888112).

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

632810640 is a wasteful number, since it uses less digits than its factorization.

632810640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 632810640 is about 25155.7277771882. The cubic root of 632810640 is about 858.5348407612.

Adding to 632810640 its reverse (46018236), we get a palindrome (678828876).

The spelling of 632810640 in words is "six hundred thirty-two million, eight hundred ten thousand, six hundred forty".