91868880 has 80 divisors (see below), whose sum is σ = 286053120. Its totient is φ = 24390144.

The previous prime is 91868873. The next prime is 91868911. The reversal of 91868880 is 8886819.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×91868880² = 16879782224908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63849 + ... + 65271.

It is an arithmetic number, because the mean of its divisors is an integer number (3575664).

Almost surely, 2^91868880 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 91868880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143026560).

91868880 is an abundant number, since it is smaller than the sum of its proper divisors (194184240).

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

91868880 is a wasteful number, since it uses less digits than its factorization.

91868880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 48.

The square root of 91868880 is about 9584.8255070189. The cubic root of 91868880 is about 451.2211768895.

The spelling of 91868880 in words is "ninety-one million, eight hundred sixty-eight thousand, eight hundred eighty".