91852992 has 336 divisors, whose sum is σ = 348691200. Its totient is φ = 22394880.

The previous prime is 91852991. The next prime is 91853033. The reversal of 91852992 is 29925819.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (91852991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 842634 + ... + 842742.

Almost surely, 2^91852992 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 91852992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174345600).

91852992 is an abundant number, since it is smaller than the sum of its proper divisors (256838208).

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

91852992 is a wasteful number, since it uses less digits than its factorization.

91852992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 151 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 91852992 is about 9583.9966611013. The cubic root of 91852992 is about 451.1951636723.

The spelling of 91852992 in words is "ninety-one million, eight hundred fifty-two thousand, nine hundred ninety-two".