31066880 has 72 divisors (see below), whose sum is σ = 80182032. Its totient is φ = 11464704.

The previous prime is 31066879. The next prime is 31066883. The reversal of 31066880 is 8866013.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (31066883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15707 + ... + 17573.

Almost surely, 2^31066880 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 31066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40091016).

31066880 is an abundant number, since it is smaller than the sum of its proper divisors (49115152).

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

31066880 is a wasteful number, since it uses less digits than its factorization.

31066880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 31066880 is about 5573.7671282536. The cubic root of 31066880 is about 314.3638121540.

The spelling of 31066880 in words is "thirty-one million, sixty-six thousand, eight hundred eighty".