631145536 has 112 divisors (see below), whose sum is σ = 1536192000. Its totient is φ = 251117568.

The previous prime is 631145509. The next prime is 631145539. The reversal of 631145536 is 635541136.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×631145536² = 796689375225454592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (631145539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 601140 + ... + 602188.

It is an arithmetic number, because the mean of its divisors is an integer number (13716000).

Almost surely, 2^631145536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631145536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768096000).

631145536 is an abundant number, since it is smaller than the sum of its proper divisors (905046464).

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

631145536 is a wasteful number, since it uses less digits than its factorization.

631145536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1154 counting only the distinct ones).

The product of its digits is 32400, while the sum is 34.

The square root of 631145536 is about 25122.6100554859. The cubic root of 631145536 is about 857.7811632294.

The spelling of 631145536 in words is "six hundred thirty-one million, one hundred forty-five thousand, five hundred thirty-six".