634116000 has 192 divisors, whose sum is σ = 2374444800. Its totient is φ = 144921600.

The previous prime is 634115987. The next prime is 634116017. The reversal of 634116000 is 611436.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80226 + ... + 87774.

It is an arithmetic number, because the mean of its divisors is an integer number (12366900).

Almost surely, 2^634116000 is an apocalyptic number.

634116000 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 634116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187222400).

634116000 is an abundant number, since it is smaller than the sum of its proper divisors (1740328800).

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

634116000 is a wasteful number, since it uses less digits than its factorization.

634116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7584 (or 7566 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 634116000 is about 25181.6599929393. The cubic root of 634116000 is about 859.1247630647.

Adding to 634116000 its reverse (611436), we get a palindrome (634727436).

The spelling of 634116000 in words is "six hundred thirty-four million, one hundred sixteen thousand".