91956060 has 336 divisors, whose sum is σ = 356965056. Its totient is φ = 19408896.

The previous prime is 91956037. The next prime is 91956089. The reversal of 91956060 is 6065919.

91956060 is a `hidden beast` number, since 91 + 9 + 560 + 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 an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1734994 + ... + 1735046.

It is an arithmetic number, because the mean of its divisors is an integer number (1062396).

Almost surely, 2^91956060 is an apocalyptic number.

91956060 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 91956060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178482528).

91956060 is an abundant number, since it is smaller than the sum of its proper divisors (265008996).

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

91956060 is a wasteful number, since it uses less digits than its factorization.

91956060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 87 counting only the distinct ones).

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

The square root of 91956060 is about 9589.3722422273. The cubic root of 91956060 is about 451.3638622236.

The spelling of 91956060 in words is "ninety-one million, nine hundred fifty-six thousand, sixty".