91461888 has 216 divisors, whose sum is σ = 309935808. Its totient is φ = 25399296.

The previous prime is 91461871. The next prime is 91461893. The reversal of 91461888 is 88816419.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

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 23 ways as a sum of consecutive naturals, for example, 854731 + ... + 854837.

It is an arithmetic number, because the mean of its divisors is an integer number (1434888).

Almost surely, 2^91461888 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 91461888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154967904).

91461888 is an abundant number, since it is smaller than the sum of its proper divisors (218473920).

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

91461888 is a wasteful number, since it uses less digits than its factorization.

91461888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 172 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 91461888 is about 9563.5708812138. The cubic root of 91461888 is about 450.5538661624.

The spelling of 91461888 in words is "ninety-one million, four hundred sixty-one thousand, eight hundred eighty-eight".