31445760 has 144 divisors (see below), whose sum is σ = 105960960. Its totient is φ = 7925760.

The previous prime is 31445723. The next prime is 31445789. The reversal of 31445760 is 6754413.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72745 + ... + 73175.

It is an arithmetic number, because the mean of its divisors is an integer number (735840).

Almost surely, 2^31445760 is an apocalyptic number.

31445760 is a gapful number since it is divisible by the number (30) 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 31445760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52980480).

31445760 is an abundant number, since it is smaller than the sum of its proper divisors (74515200).

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

31445760 is a wasteful number, since it uses less digits than its factorization.

31445760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 31445760 is about 5607.6519150176. The cubic root of 31445760 is about 315.6366062458.

The spelling of 31445760 in words is "thirty-one million, four hundred forty-five thousand, seven hundred sixty".