31180968 has 96 divisors (see below), whose sum is σ = 103958400. Its totient is φ = 8221824.

The previous prime is 31180949. The next prime is 31180987. The reversal of 31180968 is 86908113.

It is an interprime number because it is at equal distance from previous prime (31180949) and next prime (31180987).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4173 + ... + 8931.

It is an arithmetic number, because the mean of its divisors is an integer number (1082900).

Almost surely, 2^31180968 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 31180968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51979200).

31180968 is an abundant number, since it is smaller than the sum of its proper divisors (72777432).

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

31180968 is a wasteful number, since it uses less digits than its factorization.

31180968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4791 (or 4784 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 31180968 is about 5583.9921203383. The cubic root of 31180968 is about 314.7481584955.

The spelling of 31180968 in words is "thirty-one million, one hundred eighty thousand, nine hundred sixty-eight".