91366416 has 60 divisors (see below), whose sum is σ = 258089260. Its totient is φ = 30170880.

The previous prime is 91366411. The next prime is 91366439. The reversal of 91366416 is 61466319.

91366416 is a `hidden beast` number, since 9 + 1 + 3 + 6 + 641 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72182016 + 19184400 = 8496^2 + 4380^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (91366411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12786 + ... + 18606.

Almost surely, 2^91366416 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 91366416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129044630).

91366416 is an abundant number, since it is smaller than the sum of its proper divisors (166722844).

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

91366416 is a wasteful number, since it uses less digits than its factorization.

91366416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5944 (or 5935 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 91366416 is about 9558.5781369407. The cubic root of 91366416 is about 450.3970421729.

The spelling of 91366416 in words is "ninety-one million, three hundred sixty-six thousand, four hundred sixteen".