31290948 has 240 divisors, whose sum is σ = 102453120. Its totient is φ = 8211456.

The previous prime is 31290893. The next prime is 31290949. The reversal of 31290948 is 84909213.

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

It is not an unprimeable number, because it can be changed into a prime (31290949) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1360465 + ... + 1360487.

It is an arithmetic number, because the mean of its divisors is an integer number (426888).

Almost surely, 2^31290948 is an apocalyptic number.

31290948 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31290948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51226560).

31290948 is an abundant number, since it is smaller than the sum of its proper divisors (71162172).

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

31290948 is a wasteful number, since it uses less digits than its factorization.

31290948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 31290948 is about 5593.8312452200. The cubic root of 31290948 is about 315.1177790859.

The spelling of 31290948 in words is "thirty-one million, two hundred ninety thousand, nine hundred forty-eight".