91918368 has 96 divisors (see below), whose sum is σ = 269982720. Its totient is φ = 30424320.

The previous prime is 91918367. The next prime is 91918403. The reversal of 91918368 is 86381919.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (91918367) 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, 164746 + ... + 165302.

It is an arithmetic number, because the mean of its divisors is an integer number (2812320).

Almost surely, 2^91918368 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 91918368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134991360).

91918368 is an abundant number, since it is smaller than the sum of its proper divisors (178064352).

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

91918368 is a wasteful number, since it uses less digits than its factorization.

91918368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 753 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 91918368 is about 9587.4067400940. The cubic root of 91918368 is about 451.3021837375.

The spelling of 91918368 in words is "ninety-one million, nine hundred eighteen thousand, three hundred sixty-eight".