31488080 has 120 divisors (see below), whose sum is σ = 84550392. Its totient is φ = 10862592.

The previous prime is 31488071. The next prime is 31488089. The reversal of 31488080 is 8088413.

It is an interprime number because it is at equal distance from previous prime (31488071) and next prime (31488089).

It can be written as a sum of positive squares in 12 ways, for example, as 11916304 + 19571776 = 3452^2 + 4424^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31488089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229772 + ... + 229908.

Almost surely, 2^31488080 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 31488080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42275196).

31488080 is an abundant number, since it is smaller than the sum of its proper divisors (53062312).

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

31488080 is a wasteful number, since it uses less digits than its factorization.

31488080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 31488080 is about 5611.4240616799. The cubic root of 31488080 is about 315.7781383456.

The spelling of 31488080 in words is "thirty-one million, four hundred eighty-eight thousand, eighty".