634538160 has 120 divisors (see below), whose sum is σ = 2188676880. Its totient is φ = 164630016.

The previous prime is 634538153. The next prime is 634538167. The reversal of 634538160 is 61835436.

634538160 is a `hidden beast` number, since 63 + 4 + 538 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (634538153) and next prime (634538167).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (634538167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14731 + ... + 38549.

It is an arithmetic number, because the mean of its divisors is an integer number (18238974).

Almost surely, 2^634538160 is an apocalyptic number.

634538160 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 634538160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094338440).

634538160 is an abundant number, since it is smaller than the sum of its proper divisors (1554138720).

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

634538160 is a wasteful number, since it uses less digits than its factorization.

634538160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23875 (or 23866 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 634538160 is about 25190.0408892086. The cubic root of 634538160 is about 859.3153736437.

The spelling of 634538160 in words is "six hundred thirty-four million, five hundred thirty-eight thousand, one hundred sixty".