91056960 has 168 divisors, whose sum is σ = 325075296. Its totient is φ = 24261120.

The previous prime is 91056923. The next prime is 91056961. The reversal of 91056960 is 6965019.

91056960 is a `hidden beast` number, since 91 + 0 + 569 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91056961) 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 23 ways as a sum of consecutive naturals, for example, 77175 + ... + 78345.

It is an arithmetic number, because the mean of its divisors is an integer number (1934972).

Almost surely, 2^91056960 is an apocalyptic number.

91056960 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 91056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162537648).

91056960 is an abundant number, since it is smaller than the sum of its proper divisors (234018336).

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

91056960 is a wasteful number, since it uses less digits than its factorization.

91056960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 91056960 is about 9542.3770623467. The cubic root of 91056960 is about 449.8879721129.

The spelling of 91056960 in words is "ninety-one million, fifty-six thousand, nine hundred sixty".