31330800 has 150 divisors (see below), whose sum is σ = 112560008. Its totient is φ = 8346240.

The previous prime is 31330769. The next prime is 31330841. The reversal of 31330800 is 803313.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 29 ways as a sum of consecutive naturals, for example, 31917 + ... + 32883.

Almost surely, 2^31330800 is an apocalyptic number.

31330800 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 31330800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56280004).

31330800 is an abundant number, since it is smaller than the sum of its proper divisors (81229208).

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

31330800 is a wasteful number, since it uses less digits than its factorization.

31330800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 31330800 is about 5597.3922499678. The cubic root of 31330800 is about 315.2514998263.

It can be divided in two parts, 313 and 30800, that added together give a palindrome (31113).

The spelling of 31330800 in words is "thirty-one million, three hundred thirty thousand, eight hundred".