91065600 has 432 divisors, whose sum is σ = 364976640. Its totient is φ = 22118400.

The previous prime is 91065593. The next prime is 91065641. The reversal of 91065600 is 656019.

91065600 is a `hidden beast` number, since 9 + 1 + 0 + 656 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2937585 + ... + 2937615.

Almost surely, 2^91065600 is an apocalyptic number.

91065600 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 91065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182488320).

91065600 is an abundant number, since it is smaller than the sum of its proper divisors (273911040).

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

91065600 is a wasteful number, since it uses less digits than its factorization.

91065600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 58 counting only the distinct ones).

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

The square root of 91065600 is about 9542.8297689941. The cubic root of 91065600 is about 449.9022009690.

It can be divided in two parts, 9106 and 5600, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 91065600 in words is "ninety-one million, sixty-five thousand, six hundred".