631705040 has 80 divisors (see below), whose sum is σ = 1593179280. Its totient is φ = 231997440.

The previous prime is 631705021. The next prime is 631705069. The reversal of 631705040 is 40507136.

It can be written as a sum of positive squares in 8 ways, for example, as 48385936 + 583319104 = 6956^2 + 24152^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×631705040² = 798102515122803200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50096 + ... + 61424.

It is an arithmetic number, because the mean of its divisors is an integer number (19914741).

Almost surely, 2^631705040 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 631705040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796589640).

631705040 is an abundant number, since it is smaller than the sum of its proper divisors (961474240).

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

631705040 is a wasteful number, since it uses less digits than its factorization.

631705040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11400 (or 11394 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 631705040 is about 25133.7430559000. The cubic root of 631705040 is about 858.0345597474.

The spelling of 631705040 in words is "six hundred thirty-one million, seven hundred five thousand, forty".