31422400 has 84 divisors (see below), whose sum is σ = 79369920. Its totient is φ = 12236800.

The previous prime is 31422373. The next prime is 31422401. The reversal of 31422400 is 422413.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31422401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65361 + ... + 65839.

It is an arithmetic number, because the mean of its divisors is an integer number (944880).

Almost surely, 2^31422400 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 31422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39684960).

31422400 is an abundant number, since it is smaller than the sum of its proper divisors (47947520).

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

31422400 is a wasteful number, since it uses less digits than its factorization.

31422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 31422400 is about 5605.5686598239. The cubic root of 31422400 is about 315.5584282692.

Adding to 31422400 its reverse (422413), we get a palindrome (31844813).

The spelling of 31422400 in words is "thirty-one million, four hundred twenty-two thousand, four hundred".