631949136 has 240 divisors, whose sum is σ = 2091294720. Its totient is φ = 160842240.

The previous prime is 631949119. The next prime is 631949141.

631949136 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×631949136² = 798719420982292992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1760125 + ... + 1760483.

It is an arithmetic number, because the mean of its divisors is an integer number (8713728).

Almost surely, 2^631949136 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 631949136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045647360).

631949136 is an abundant number, since it is smaller than the sum of its proper divisors (1459345584).

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

631949136 is a wasteful number, since it uses less digits than its factorization.

631949136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 415 counting only the distinct ones).

The product of its digits is 104976, while the sum is 42.

The square root of 631949136 is about 25138.5985289554. The cubic root of 631949136 is about 858.1450627088.

It can be divided in two parts, 6319 and 49136, that added together give a palindrome (55455).

The spelling of 631949136 in words is "six hundred thirty-one million, nine hundred forty-nine thousand, one hundred thirty-six".