631364160 has 224 divisors, whose sum is σ = 2340864000. Its totient is φ = 141170688.

The previous prime is 631364159. The next prime is 631364171. The reversal of 631364160 is 61463136.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 314841 + ... + 316839.

Almost surely, 2^631364160 is an apocalyptic number.

631364160 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 631364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170432000).

631364160 is an abundant number, since it is smaller than the sum of its proper divisors (1709499840).

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

631364160 is a wasteful number, since it uses less digits than its factorization.

631364160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 631364160 is about 25126.9608190087. The cubic root of 631364160 is about 857.8801947466.

The spelling of 631364160 in words is "six hundred thirty-one million, three hundred sixty-four thousand, one hundred sixty".