91785960 has 384 divisors, whose sum is σ = 377395200. Its totient is φ = 19595520.

The previous prime is 91785949. The next prime is 91785961. The reversal of 91785960 is 6958719.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (91785961) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1292725 + ... + 1292795.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 2^91785960 is an apocalyptic number.

91785960 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 91785960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

91785960 is an abundant number, since it is smaller than the sum of its proper divisors (285609240).

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

91785960 is a wasteful number, since it uses less digits than its factorization.

91785960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 91785960 is about 9580.4989431657. The cubic root of 91785960 is about 451.0853800069.

The spelling of 91785960 in words is "ninety-one million, seven hundred eighty-five thousand, nine hundred sixty".