31396800 has 168 divisors, whose sum is σ = 106834432. Its totient is φ = 8064000.

The previous prime is 31396793. The next prime is 31396801. The reversal of 31396800 is 869313.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31396801) 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 23 ways as a sum of consecutive naturals, for example, 148695 + ... + 148905.

Almost surely, 2^31396800 is an apocalyptic number.

31396800 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 31396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53417216).

31396800 is an abundant number, since it is smaller than the sum of its proper divisors (75437632).

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

31396800 is a wasteful number, since it uses less digits than its factorization.

31396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 31396800 is about 5603.2847509296. The cubic root of 31396800 is about 315.4727092645.

The spelling of 31396800 in words is "thirty-one million, three hundred ninety-six thousand, eight hundred".