91623168 has 432 divisors, whose sum is σ = 357127680. Its totient is φ = 21897216.

The previous prime is 91623143. The next prime is 91623199. The reversal of 91623168 is 86132619.

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 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, 3983605 + ... + 3983627.

Almost surely, 2^91623168 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 91623168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178563840).

91623168 is an abundant number, since it is smaller than the sum of its proper divisors (265504512).

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

91623168 is a wasteful number, since it uses less digits than its factorization.

91623168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 67 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 91623168 is about 9571.9991642290. Note that the first 3 decimals coincide. The cubic root of 91623168 is about 450.8185398214.

The spelling of 91623168 in words is "ninety-one million, six hundred twenty-three thousand, one hundred sixty-eight".