91535616 has 288 divisors, whose sum is σ = 309052800. Its totient is φ = 26542080.

The previous prime is 91535579. The next prime is 91535621. The reversal of 91535616 is 61653519.

91535616 is a `hidden beast` number, since 9 + 1 + 5 + 35 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2232556 + ... + 2232596.

It is an arithmetic number, because the mean of its divisors is an integer number (1073100).

Almost surely, 2^91535616 is an apocalyptic number.

91535616 is a gapful number since it is divisible by the number (96) 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 91535616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154526400).

91535616 is an abundant number, since it is smaller than the sum of its proper divisors (217517184).

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

91535616 is a wasteful number, since it uses less digits than its factorization.

91535616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 82 counting only the distinct ones).

The product of its digits is 24300, while the sum is 36.

The square root of 91535616 is about 9567.4247318701. The cubic root of 91535616 is about 450.6748984098.

The spelling of 91535616 in words is "ninety-one million, five hundred thirty-five thousand, six hundred sixteen".