92668032 has 96 divisors (see below), whose sum is σ = 268554780. Its totient is φ = 30670848.

The previous prime is 92668019. The next prime is 92668039. The reversal of 92668032 is 23086629.

It can be written as a sum of positive squares in 2 ways, for example, as 92621376 + 46656 = 9624^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (92668039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 295908 + ... + 296220.

Almost surely, 2^92668032 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 92668032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134277390).

92668032 is an abundant number, since it is smaller than the sum of its proper divisors (175886748).

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

92668032 is a wasteful number, since it uses less digits than its factorization.

92668032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 92668032 is about 9626.4236349747. The cubic root of 92668032 is about 452.5257671804.

The spelling of 92668032 in words is "ninety-two million, six hundred sixty-eight thousand, thirty-two".