91845216 has 36 divisors (see below), whose sum is σ = 261185652. Its totient is φ = 30614976.

The previous prime is 91845209. The next prime is 91845217. The reversal of 91845216 is 61254819.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91845217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 159166 + ... + 159741.

It is an arithmetic number, because the mean of its divisors is an integer number (7255157).

Almost surely, 2^91845216 is an apocalyptic number.

91845216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

91845216 is an abundant number, since it is smaller than the sum of its proper divisors (169340436).

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

91845216 is a wasteful number, since it uses less digits than its factorization.

91845216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318923 (or 318912 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 91845216 is about 9583.5909762468. The cubic root of 91845216 is about 451.1824310346.

It can be divided in two parts, 9184 and 5216, that added together give a square (14400 = 120²).

The spelling of 91845216 in words is "ninety-one million, eight hundred forty-five thousand, two hundred sixteen".