31045680 has 120 divisors (see below), whose sum is σ = 108190992. Its totient is φ = 8273664.

The previous prime is 31045669. The next prime is 31045687. The reversal of 31045680 is 8654013.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (31045687) 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, 18642 + ... + 20238.

Almost surely, 2^31045680 is an apocalyptic number.

31045680 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 31045680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54095496).

31045680 is an abundant number, since it is smaller than the sum of its proper divisors (77145312).

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

31045680 is a wasteful number, since it uses less digits than its factorization.

31045680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 31045680 is about 5571.8650378486. The cubic root of 31045680 is about 314.2922887251.

Adding to 31045680 its reverse (8654013), we get a palindrome (39699693).

The spelling of 31045680 in words is "thirty-one million, forty-five thousand, six hundred eighty".