91945008 has 120 divisors (see below), whose sum is σ = 272363520. Its totient is φ = 28909440.

The previous prime is 91945003. The next prime is 91945013. The reversal of 91945008 is 80054919.

It is an interprime number because it is at equal distance from previous prime (91945003) and next prime (91945013).

It is a super-2 number, since 2×91945008² = 16907768992240128, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (91945003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191713 + ... + 192191.

It is an arithmetic number, because the mean of its divisors is an integer number (2269696).

Almost surely, 2^91945008 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 91945008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136181760).

91945008 is an abundant number, since it is smaller than the sum of its proper divisors (180418512).

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

91945008 is a wasteful number, since it uses less digits than its factorization.

91945008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 91945008 is about 9588.7959619548. The cubic root of 91945008 is about 451.3457786836.

The spelling of 91945008 in words is "ninety-one million, nine hundred forty-five thousand, eight".