91852816 has 80 divisors (see below), whose sum is σ = 203290560. Its totient is φ = 39836160.

The previous prime is 91852807. The next prime is 91852837. The reversal of 91852816 is 61825819.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400990 + ... + 401218.

It is an arithmetic number, because the mean of its divisors is an integer number (2541132).

Almost surely, 2^91852816 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 91852816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101645280).

91852816 is an abundant number, since it is smaller than the sum of its proper divisors (111437744).

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

91852816 is a wasteful number, since it uses less digits than its factorization.

91852816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 338 counting only the distinct ones).

The product of its digits is 34560, while the sum is 40.

The square root of 91852816 is about 9583.9874791237. The cubic root of 91852816 is about 451.1948754930.

The spelling of 91852816 in words is "ninety-one million, eight hundred fifty-two thousand, eight hundred sixteen".