31679136 has 72 divisors (see below), whose sum is σ = 93218580. Its totient is φ = 10192896.

The previous prime is 31679129. The next prime is 31679147. The reversal of 31679136 is 63197613.

It can be written as a sum of positive squares in 2 ways, for example, as 30869136 + 810000 = 5556^2 + 900^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 31679136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6456 + ... + 10248.

Almost surely, 2^31679136 is an apocalyptic number.

31679136 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 31679136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46609290).

31679136 is an abundant number, since it is smaller than the sum of its proper divisors (61539444).

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

31679136 is a wasteful number, since it uses less digits than its factorization.

31679136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838 (or 3827 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 31679136 is about 5628.4221590069. The cubic root of 31679136 is about 316.4155191816.

The spelling of 31679136 in words is "thirty-one million, six hundred seventy-nine thousand, one hundred thirty-six".