31126400 has 96 divisors (see below), whose sum is σ = 78544080. Its totient is φ = 12185600.

The previous prime is 31126399. The next prime is 31126441. The reversal of 31126400 is 462113.

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 11 ways as a sum of consecutive naturals, for example, 227132 + ... + 227268.

Almost surely, 2^31126400 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 31126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39272040).

31126400 is an abundant number, since it is smaller than the sum of its proper divisors (47417680).

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

31126400 is a wasteful number, since it uses less digits than its factorization.

31126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 31126400 is about 5579.1038706946. The cubic root of 31126400 is about 314.5644437975.

Adding to 31126400 its reverse (462113), we get a palindrome (31588513).

The spelling of 31126400 in words is "thirty-one million, one hundred twenty-six thousand, four hundred".