31214400 has 168 divisors, whose sum is σ = 117165120. Its totient is φ = 7127040.

The previous prime is 31214399. The next prime is 31214419. The reversal of 31214400 is 441213.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31214400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33136 + ... + 34064.

Almost surely, 2^31214400 is an apocalyptic number.

31214400 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 31214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58582560).

31214400 is an abundant number, since it is smaller than the sum of its proper divisors (85950720).

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

31214400 is a wasteful number, since it uses less digits than its factorization.

31214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 31214400 is about 5586.9848755836. The cubic root of 31214400 is about 314.8606085206.

Adding to 31214400 its reverse (441213), we get a palindrome (31655613).

The spelling of 31214400 in words is "thirty-one million, two hundred fourteen thousand, four hundred".