91645288 has 48 divisors (see below), whose sum is σ = 200736900. Its totient is φ = 39110400.

The previous prime is 91645273. The next prime is 91645289. The reversal of 91645288 is 88254619.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 91431844 + 213444 = 9562^2 + 462^2 .

It is not an unprimeable number, because it can be changed into a prime (91645289) 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, 152188 + ... + 152788.

Almost surely, 2^91645288 is an apocalyptic number.

91645288 is a gapful number since it is divisible by the number (98) 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 91645288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100368450).

91645288 is an abundant number, since it is smaller than the sum of its proper divisors (109091612).

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

91645288 is a wasteful number, since it uses less digits than its factorization.

91645288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 999 counting only the distinct ones).

The product of its digits is 138240, while the sum is 43.

The square root of 91645288 is about 9573.1545480056. The cubic root of 91645288 is about 450.8548163220.

The spelling of 91645288 in words is "ninety-one million, six hundred forty-five thousand, two hundred eighty-eight".