31264116 has 48 divisors (see below), whose sum is σ = 79337664. Its totient is φ = 9524736.

The previous prime is 31264111. The next prime is 31264127. The reversal of 31264116 is 61146213.

It is a super-2 number, since 2×31264116² = 1954889898522912, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31264111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15756 + ... + 17628.

It is an arithmetic number, because the mean of its divisors is an integer number (1652868).

Almost surely, 2^31264116 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 31264116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39668832).

31264116 is an abundant number, since it is smaller than the sum of its proper divisors (48073548).

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

31264116 is a wasteful number, since it uses less digits than its factorization.

31264116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000 (or 1998 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 31264116 is about 5591.4323746246. The cubic root of 31264116 is about 315.0276821225.

The spelling of 31264116 in words is "thirty-one million, two hundred sixty-four thousand, one hundred sixteen".