91505646 has 64 divisors (see below), whose sum is σ = 208857600. Its totient is φ = 29688768.

The previous prime is 91505641. The next prime is 91505647. The reversal of 91505646 is 64650519.

91505646 is a `hidden beast` number, since 9 + 1 + 5 + 0 + 5 + 646 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 91505646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91505641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 547855 + ... + 548021.

It is an arithmetic number, because the mean of its divisors is an integer number (3263400).

Almost surely, 2^91505646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91505646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104428800).

91505646 is an abundant number, since it is smaller than the sum of its proper divisors (117351954).

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

91505646 is a wasteful number, since it uses less digits than its factorization.

91505646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 91505646 is about 9565.8583514497. The cubic root of 91505646 is about 450.6257073530.

The spelling of 91505646 in words is "ninety-one million, five hundred five thousand, six hundred forty-six".