31346120 has 48 divisors (see below), whose sum is σ = 76387860. Its totient is φ = 11571456.

The previous prime is 31346101. The next prime is 31346137. The reversal of 31346120 is 2164313.

It can be written as a sum of positive squares in 6 ways, for example, as 1162084 + 30184036 = 1078^2 + 5494^2 .

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 = 31346092 and 31346101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4442 + ... + 9078.

Almost surely, 2^31346120 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 31346120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38193930).

31346120 is an abundant number, since it is smaller than the sum of its proper divisors (45041740).

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

31346120 is a wasteful number, since it uses less digits than its factorization.

31346120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4674 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 31346120 is about 5598.7605771278. The cubic root of 31346120 is about 315.3028748949.

The spelling of 31346120 in words is "thirty-one million, three hundred forty-six thousand, one hundred twenty".