634631040 has 192 divisors, whose sum is σ = 2205403200. Its totient is φ = 168161280.

The previous prime is 634631009. The next prime is 634631057. The reversal of 634631040 is 40136436.

634631040 is a `hidden beast` number, since 6 + 346 + 310 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 634630995 and 634631013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1376410 + ... + 1376870.

It is an arithmetic number, because the mean of its divisors is an integer number (11486475).

Almost surely, 2^634631040 is an apocalyptic number.

634631040 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 634631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102701600).

634631040 is an abundant number, since it is smaller than the sum of its proper divisors (1570772160).

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

634631040 is a wasteful number, since it uses less digits than its factorization.

634631040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 634631040 is about 25191.8844074833. The cubic root of 634631040 is about 859.3572987913.

Adding to 634631040 its reverse (40136436), we get a palindrome (674767476).

The spelling of 634631040 in words is "six hundred thirty-four million, six hundred thirty-one thousand, forty".