91368000 has 336 divisors, whose sum is σ = 346155264. Its totient is φ = 23846400.

The previous prime is 91367999. The next prime is 91368001. The reversal of 91368000 is 86319.

It is an interprime number because it is at equal distance from previous prime (91367999) and next prime (91368001).

It is a super-2 number, since 2×91368000² = 16696222848000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (91368001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1943977 + ... + 1944023.

It is an arithmetic number, because the mean of its divisors is an integer number (1030224).

Almost surely, 2^91368000 is an apocalyptic number.

91368000 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 91368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173077632).

91368000 is an abundant number, since it is smaller than the sum of its proper divisors (254787264).

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

91368000 is an equidigital number, since it uses as much as digits as its factorization.

91368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 91368000 is about 9558.6609940933. The cubic root of 91368000 is about 450.3996449703.

91368000 divided by its product of nonzero digits (1296) gives a triangular number (70500 = T₃₇₅).

The spelling of 91368000 in words is "ninety-one million, three hundred sixty-eight thousand".