634041120 has 96 divisors (see below), whose sum is σ = 2034994752. Its totient is φ = 165880832.

The previous prime is 634041101. The next prime is 634041127. The reversal of 634041120 is 21140436.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (634041127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12979 + ... + 37901.

It is an arithmetic number, because the mean of its divisors is an integer number (21197862).

Almost surely, 2^634041120 is an apocalyptic number.

634041120 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 634041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017497376).

634041120 is an abundant number, since it is smaller than the sum of its proper divisors (1400953632).

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

634041120 is a wasteful number, since it uses less digits than its factorization.

634041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24994 (or 24986 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 634041120 is about 25180.1731527009. The cubic root of 634041120 is about 859.0909449649.

Adding to 634041120 its reverse (21140436), we get a palindrome (655181556).

The spelling of 634041120 in words is "six hundred thirty-four million, forty-one thousand, one hundred twenty".