91795080 has 192 divisors, whose sum is σ = 314919360. Its totient is φ = 21275136.

The previous prime is 91795049. The next prime is 91795103. The reversal of 91795080 is 8059719.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 563079 + ... + 563241.

It is an arithmetic number, because the mean of its divisors is an integer number (1640205).

Almost surely, 2^91795080 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 91795080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157459680).

91795080 is an abundant number, since it is smaller than the sum of its proper divisors (223124280).

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

91795080 is a wasteful number, since it uses less digits than its factorization.

91795080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 39.

The square root of 91795080 is about 9580.9748982032. The cubic root of 91795080 is about 451.1003197007.

The spelling of 91795080 in words is "ninety-one million, seven hundred ninety-five thousand, eighty".