31953040 has 40 divisors (see below), whose sum is σ = 84905280. Its totient is φ = 10955136.

The previous prime is 31953029. The next prime is 31953071. The reversal of 31953040 is 4035913.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 31952996 and 31953014.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 27970 + ... + 29089.

It is an arithmetic number, because the mean of its divisors is an integer number (2122632).

Almost surely, 2^31953040 is an apocalyptic number.

It is an amenable number.

31953040 is an abundant number, since it is smaller than the sum of its proper divisors (52952240).

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

31953040 is a wasteful number, since it uses less digits than its factorization.

31953040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57079 (or 57073 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 31953040 is about 5652.7020087742. The cubic root of 31953040 is about 317.3248336274.

Adding to 31953040 its reverse (4035913), we get a palindrome (35988953).

The spelling of 31953040 in words is "thirty-one million, nine hundred fifty-three thousand, forty".