31961088 has 156 divisors (see below), whose sum is σ = 100585480. Its totient is φ = 10027008.

The previous prime is 31961087. The next prime is 31961107. The reversal of 31961088 is 88016913.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

31961088 is a `hidden beast` number, since 31 + 9 + 610 + 8 + 8 = 666.

It is a super-2 number, since 2×31961088² = 2043022292287488, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (31961087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1880056 + ... + 1880072.

Almost surely, 2^31961088 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 31961088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50292740).

31961088 is an abundant number, since it is smaller than the sum of its proper divisors (68624392).

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

31961088 is an equidigital number, since it uses as much as digits as its factorization.

31961088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 22 counting only the distinct ones).

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

The square root of 31961088 is about 5653.4138359048. The cubic root of 31961088 is about 317.3514728860.

The spelling of 31961088 in words is "thirty-one million, nine hundred sixty-one thousand, eighty-eight".