31350080 has 42 divisors (see below), whose sum is σ = 74891646. Its totient is φ = 12499968.

The previous prime is 31350061. The next prime is 31350089. The reversal of 31350080 is 8005313.

It can be written as a sum of positive squares in 3 ways, for example, as 4393216 + 26956864 = 2096^2 + 5192^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31350089) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 100004 + ... + 100316.

Almost surely, 2^31350080 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 31350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37445823).

31350080 is an abundant number, since it is smaller than the sum of its proper divisors (43541566).

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

31350080 is an frugal number, since it uses more digits than its factorization.

31350080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 31350080 is about 5599.1142156595. The cubic root of 31350080 is about 315.3161518896.

Multiplying 31350080 by its sum of digits (20), we get a square (627001600 = 25040²).

31350080 divided by its sum of digits (20) gives a square (1567504 = 1252²).

Adding to 31350080 its reverse (8005313), we get a palindrome (39355393).

The spelling of 31350080 in words is "thirty-one million, three hundred fifty thousand, eighty".