91082880 has 320 divisors, whose sum is σ = 373222080. Its totient is φ = 20736000.

The previous prime is 91082869. The next prime is 91082891. The reversal of 91082880 is 8828019.

It is an interprime number because it is at equal distance from previous prime (91082869) and next prime (91082891).

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 362755 + ... + 363005.

It is an arithmetic number, because the mean of its divisors is an integer number (1166319).

Almost surely, 2^91082880 is an apocalyptic number.

91082880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186611040).

91082880 is an abundant number, since it is smaller than the sum of its proper divisors (282139200).

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

91082880 is a wasteful number, since it uses less digits than its factorization.

91082880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 91082880 is about 9543.7351178666. The cubic root of 91082880 is about 449.9306559815.

The spelling of 91082880 in words is "ninety-one million, eighty-two thousand, eight hundred eighty".