31048000 has 56 divisors (see below), whose sum is σ = 76910184. Its totient is φ = 12416000.

The previous prime is 31047997. The next prime is 31048037. The reversal of 31048000 is 84013.

It can be written as a sum of positive squares in 4 ways, for example, as 665856 + 30382144 = 816^2 + 5512^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 6060 + ... + 9940.

Almost surely, 2^31048000 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 31048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38455092).

31048000 is an abundant number, since it is smaller than the sum of its proper divisors (45862184).

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

31048000 is an equidigital number, since it uses as much as digits as its factorization.

31048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3908 (or 3888 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 31048000 is about 5572.0732227780. The cubic root of 31048000 is about 314.3001174037.

The spelling of 31048000 in words is "thirty-one million, forty-eight thousand".