31688496 has 150 divisors (see below), whose sum is σ = 106903500. Its totient is φ = 9035712.

The previous prime is 31688491. The next prime is 31688509. The reversal of 31688496 is 69488613.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (31688491) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 63255 + ... + 63753.

It is an arithmetic number, because the mean of its divisors is an integer number (712690).

Almost surely, 2^31688496 is an apocalyptic number.

31688496 is a gapful number since it is divisible by the number (36) 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 31688496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53451750).

31688496 is an abundant number, since it is smaller than the sum of its proper divisors (75215004).

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

31688496 is a wasteful number, since it uses less digits than its factorization.

31688496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 511 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 31688496 is about 5629.2535917295. The cubic root of 31688496 is about 316.4466790973.

It can be divided in two parts, 3168 and 8496, that added together give a square (11664 = 108²).

The spelling of 31688496 in words is "thirty-one million, six hundred eighty-eight thousand, four hundred ninety-six".