91296288 has 48 divisors (see below), whose sum is σ = 266283360. Its totient is φ = 30431808.

The previous prime is 91296259. The next prime is 91296313. The reversal of 91296288 is 88269219.

91296288 is a `hidden beast` number, since 9 + 12 + 9 + 628 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51970 + ... + 53697.

It is an arithmetic number, because the mean of its divisors is an integer number (5547570).

Almost surely, 2^91296288 is an apocalyptic number.

It is an amenable number.

91296288 is an abundant number, since it is smaller than the sum of its proper divisors (174987072).

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

91296288 is a wasteful number, since it uses less digits than its factorization.

91296288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105686 (or 105672 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 91296288 is about 9554.9091047482. The cubic root of 91296288 is about 450.2817790755.

The spelling of 91296288 in words is "ninety-one million, two hundred ninety-six thousand, two hundred eighty-eight".