91656 has 48 divisors (see below), whose sum is σ = 265200. Its totient is φ = 28512.

The previous prime is 91639. The next prime is 91673. The reversal of 91656 is 65619.

91656 is a `hidden beast` number, since 9 + 1 + 656 = 666.

91656 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (91639) and next prime (91673).

It is a plaindrome in base 14.

It is an unprimeable number.

91656 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1335 + ... + 1401.

It is an arithmetic number, because the mean of its divisors is an integer number (5525).

2⁹¹⁶⁵⁶ 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 91656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132600).

91656 is an abundant number, since it is smaller than the sum of its proper divisors (173544).

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

91656 is a wasteful number, since it uses less digits than its factorization.

91656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 91 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 91656 is about 302.7474194770. The cubic root of 91656 is about 45.0872381759.

It can be divided in two parts, 91 and 656, that added together give a palindrome (747).

The spelling of 91656 in words is "ninety-one thousand, six hundred fifty-six".