91952016 has 80 divisors (see below), whose sum is σ = 258525120. Its totient is φ = 27993600.

The previous prime is 91952009. The next prime is 91952051. The reversal of 91952016 is 61025919.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 62295 + ... + 63753.

It is an arithmetic number, because the mean of its divisors is an integer number (3231564).

Almost surely, 2^91952016 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 91952016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129262560).

91952016 is an abundant number, since it is smaller than the sum of its proper divisors (166573104).

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

91952016 is a wasteful number, since it uses less digits than its factorization.

91952016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 33.

The square root of 91952016 is about 9589.1613814765. The cubic root of 91952016 is about 451.3572455046.

It can be divided in two parts, 9195 and 2016, that added together give a palindrome (11211).

The spelling of 91952016 in words is "ninety-one million, nine hundred fifty-two thousand, sixteen".