91296000 has 216 divisors, whose sum is σ = 329545944. Its totient is φ = 24268800.

The previous prime is 91295999. The next prime is 91296011. The reversal of 91296000 is 69219.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19927296 + 71368704 = 4464^2 + 8448^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287842 + ... + 288158.

Almost surely, 2^91296000 is an apocalyptic number.

91296000 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 91296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164772972).

91296000 is an abundant number, since it is smaller than the sum of its proper divisors (238249944).

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

91296000 is a wasteful number, since it uses less digits than its factorization.

91296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 91296000 is about 9554.8940339493. The cubic root of 91296000 is about 450.2813055941.

It can be divided in two parts, 9129 and 6000, that added together give a square (15129 = 123²).

The spelling of 91296000 in words is "ninety-one million, two hundred ninety-six thousand".