91814400 has 180 divisors, whose sum is σ = 328990662. Its totient is φ = 24453120.

The previous prime is 91814389. The next prime is 91814461. The reversal of 91814400 is 441819.

It can be written as a sum of positive squares in 3 ways, for example, as 67371264 + 24443136 = 8208^2 + 4944^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114802 + ... + 115598.

Almost surely, 2^91814400 is an apocalyptic number.

91814400 is a gapful number since it is divisible by the number (90) 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 91814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164495331).

91814400 is an abundant number, since it is smaller than the sum of its proper divisors (237176262).

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

91814400 is a wasteful number, since it uses less digits than its factorization.

91814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 91814400 is about 9581.9830932850. The cubic root of 91814400 is about 451.1319649945.

It can be divided in two parts, 9 and 1814400, that added together give a square (1814409 = 1347²).

The spelling of 91814400 in words is "ninety-one million, eight hundred fourteen thousand, four hundred".