31661960 has 64 divisors (see below), whose sum is σ = 78304320. Its totient is φ = 11426560.

The previous prime is 31661957. The next prime is 31661983. The reversal of 31661960 is 6916613.

It is a super-2 number, since 2×31661960² = 2004959422083200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99722 + ... + 100038.

It is an arithmetic number, because the mean of its divisors is an integer number (1223505).

Almost surely, 2^31661960 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 31661960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39152160).

31661960 is an abundant number, since it is smaller than the sum of its proper divisors (46642360).

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

31661960 is a wasteful number, since it uses less digits than its factorization.

31661960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 31661960 is about 5626.8961248632. The cubic root of 31661960 is about 316.3583234354.

The spelling of 31661960 in words is "thirty-one million, six hundred sixty-one thousand, nine hundred sixty".