91536 has 20 divisors (see below), whose sum is σ = 236592. Its totient is φ = 30496.

The previous prime is 91529. The next prime is 91541. The reversal of 91536 is 63519.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 906 + ... + 1001.

2⁹¹⁵³⁶ is an apocalyptic number.

It is an amenable number.

91536 is an abundant number, since it is smaller than the sum of its proper divisors (145056).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118296).

91536 is a wasteful number, since it uses less digits than its factorization.

91536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1912 counting only the distinct ones).

The product of its digits is 810, while the sum is 24.

The square root of 91536 is about 302.5491695576. The cubic root of 91536 is about 45.0675528616.

It can be divided in two parts, 9 and 1536, that multiplied together give a cube (13824 = 24³).

The spelling of 91536 in words is "ninety-one thousand, five hundred thirty-six".