91214400 has 168 divisors, whose sum is σ = 309416704. Its totient is φ = 23500800.

The previous prime is 91214399. The next prime is 91214429. The reversal of 91214400 is 441219.

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 23 ways as a sum of consecutive naturals, for example, 148494 + ... + 149106.

Almost surely, 2^91214400 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 91214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154708352).

91214400 is an abundant number, since it is smaller than the sum of its proper divisors (218202304).

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

91214400 is a wasteful number, since it uses less digits than its factorization.

91214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 91214400 is about 9550.6230163273. The cubic root of 91214400 is about 450.1471123951.

Adding to 91214400 its reverse (441219), we get a palindrome (91655619).

The spelling of 91214400 in words is "ninety-one million, two hundred fourteen thousand, four hundred".