31045960 has 64 divisors (see below), whose sum is σ = 78304320. Its totient is φ = 10978560.

The previous prime is 31045933. The next prime is 31046003. The reversal of 31045960 is 6954013.

31045960 = T₁₆₉ + T₁₇₀ + ... + T₅₇₅.

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, 15327 + ... + 17233.

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

Almost surely, 2^31045960 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 31045960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39152160).

31045960 is an abundant number, since it is smaller than the sum of its proper divisors (47258360).

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

31045960 is a wasteful number, since it uses less digits than its factorization.

31045960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 31045960 is about 5571.8901640287. The cubic root of 31045960 is about 314.2932335863.

Adding to 31045960 its reverse (6954013), we get a palindrome (37999973).

The spelling of 31045960 in words is "thirty-one million, forty-five thousand, nine hundred sixty".