91166880 has 192 divisors, whose sum is σ = 336365568. Its totient is φ = 20321280.

The previous prime is 91166863. The next prime is 91166897. The reversal of 91166880 is 8866119.

It is an interprime number because it is at equal distance from previous prime (91166863) and next prime (91166897).

It is a super-2 number, since 2×91166880² = 16622800017868800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144165 + ... + 144795.

It is an arithmetic number, because the mean of its divisors is an integer number (1751904).

Almost surely, 2^91166880 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 91166880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168182784).

91166880 is an abundant number, since it is smaller than the sum of its proper divisors (245198688).

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

91166880 is a wasteful number, since it uses less digits than its factorization.

91166880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 91166880 is about 9548.1348964078. The cubic root of 91166880 is about 450.0689277132.

The spelling of 91166880 in words is "ninety-one million, one hundred sixty-six thousand, eight hundred eighty".