634563720 has 320 divisors, whose sum is σ = 2491632000. Its totient is φ = 144789120.

The previous prime is 634563701. The next prime is 634563751. The reversal of 634563720 is 27365436.

It is a super-2 number, since 2×634563720² = 805342229480476800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 1111035 + ... + 1111605.

It is an arithmetic number, because the mean of its divisors is an integer number (7786350).

Almost surely, 2^634563720 is an apocalyptic number.

634563720 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 634563720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245816000).

634563720 is an abundant number, since it is smaller than the sum of its proper divisors (1857068280).

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

634563720 is a wasteful number, since it uses less digits than its factorization.

634563720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 634563720 is about 25190.5482274602. The cubic root of 634563720 is about 859.3269115923.

It can be divided in two parts, 63456 and 3720, that added together give a palindrome (67176).

The spelling of 634563720 in words is "six hundred thirty-four million, five hundred sixty-three thousand, seven hundred twenty".