31268000 has 48 divisors (see below), whose sum is σ = 76835304. Its totient is φ = 12505600.

The previous prime is 31267979. The next prime is 31268011. The reversal of 31268000 is 86213.

It can be written as a sum of positive squares in 4 ways, for example, as 1281424 + 29986576 = 1132^2 + 5476^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92 + ... + 7908.

Almost surely, 2^31268000 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 31268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38417652).

31268000 is an abundant number, since it is smaller than the sum of its proper divisors (45567304).

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

31268000 is an equidigital number, since it uses as much as digits as its factorization.

31268000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7842 (or 7824 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 31268000 is about 5591.7796809245. The cubic root of 31268000 is about 315.0407270764.

The spelling of 31268000 in words is "thirty-one million, two hundred sixty-eight thousand".