91000368 has 80 divisors (see below), whose sum is σ = 262428640. Its totient is φ = 30191616.

The previous prime is 91000363. The next prime is 91000373. The reversal of 91000368 is 86300019.

It is an interprime number because it is at equal distance from previous prime (91000363) and next prime (91000373).

It is a super-2 number, since 2×91000368² = 16562133952270848, 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 (91000363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134880 + ... + 135552.

It is an arithmetic number, because the mean of its divisors is an integer number (3280358).

Almost surely, 2^91000368 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 91000368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131214320).

91000368 is an abundant number, since it is smaller than the sum of its proper divisors (171428272).

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

91000368 is a wasteful number, since it uses less digits than its factorization.

91000368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 991 counting only the distinct ones).

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

The square root of 91000368 is about 9539.4113025910. The cubic root of 91000368 is about 449.7947508426.

The spelling of 91000368 in words is "ninety-one million, three hundred sixty-eight", and thus it is an aban number.