31077020 has 96 divisors (see below), whose sum is σ = 76204800. Its totient is φ = 10543104.

The previous prime is 31077017. The next prime is 31077031. The reversal of 31077020 is 2077013.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 31076983 and 31077001.

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 31 ways as a sum of consecutive naturals, for example, 349136 + ... + 349224.

It is an arithmetic number, because the mean of its divisors is an integer number (793800).

Almost surely, 2^31077020 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 31077020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38102400).

31077020 is an abundant number, since it is smaller than the sum of its proper divisors (45127780).

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

31077020 is a wasteful number, since it uses less digits than its factorization.

31077020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 20.

The square root of 31077020 is about 5574.6766722385. The cubic root of 31077020 is about 314.3980104418.

The spelling of 31077020 in words is "thirty-one million, seventy-seven thousand, twenty".