634889100 has 144 divisors (see below), whose sum is σ = 1910877696. Its totient is φ = 162624000.

The previous prime is 634889071. The next prime is 634889107. The reversal of 634889100 is 1988436.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (634889107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 872937 + ... + 873663.

It is an arithmetic number, because the mean of its divisors is an integer number (13269984).

Almost surely, 2^634889100 is an apocalyptic number.

634889100 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 634889100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955438848).

634889100 is an abundant number, since it is smaller than the sum of its proper divisors (1275988596).

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

634889100 is a wasteful number, since it uses less digits than its factorization.

634889100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 634889100 is about 25197.0057744963. The cubic root of 634889100 is about 859.4737631506.

The spelling of 634889100 in words is "six hundred thirty-four million, eight hundred eighty-nine thousand, one hundred".