631314432 has 288 divisors, whose sum is σ = 2184764400. Its totient is φ = 179601408.

The previous prime is 631314421. The next prime is 631314443. The reversal of 631314432 is 234413136.

It is an interprime number because it is at equal distance from previous prime (631314421) and next prime (631314443).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 631314396 and 631314405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2709388 + ... + 2709620.

Almost surely, 2^631314432 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 631314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092382200).

631314432 is an abundant number, since it is smaller than the sum of its proper divisors (1553449968).

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

631314432 is a wasteful number, since it uses less digits than its factorization.

631314432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 245 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 631314432 is about 25125.9712648088. The cubic root of 631314432 is about 857.8576711440.

Adding to 631314432 its reverse (234413136), we get a palindrome (865727568).

The spelling of 631314432 in words is "six hundred thirty-one million, three hundred fourteen thousand, four hundred thirty-two".