91456000 has 80 divisors (see below), whose sum is σ = 228210840. Its totient is φ = 36556800.

The previous prime is 91455967. The next prime is 91456061. The reversal of 91456000 is 65419.

It can be written as a sum of positive squares in 4 ways, for example, as 8573184 + 82882816 = 2928^2 + 9104^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63286 + ... + 64714.

Almost surely, 2^91456000 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 91456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114105420).

91456000 is an abundant number, since it is smaller than the sum of its proper divisors (136754840).

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

91456000 is an equidigital number, since it uses as much as digits as its factorization.

91456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 91456000 is about 9563.2630414519. The cubic root of 91456000 is about 450.5441975884.

The spelling of 91456000 in words is "ninety-one million, four hundred fifty-six thousand".