92445984 has 72 divisors (see below), whose sum is σ = 264127500. Its totient is φ = 30670848.

The previous prime is 92445961. The next prime is 92446019. The reversal of 92445984 is 48954429.

It can be written as a sum of positive squares in 2 ways, for example, as 85155984 + 7290000 = 9228^2 + 2700^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73392 + ... + 74640.

Almost surely, 2^92445984 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 92445984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132063750).

92445984 is an abundant number, since it is smaller than the sum of its proper divisors (171681516).

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

92445984 is a wasteful number, since it uses less digits than its factorization.

92445984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 1511 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 92445984 is about 9614.8834626323. The cubic root of 92445984 is about 452.1640357975.

The spelling of 92445984 in words is "ninety-two million, four hundred forty-five thousand, nine hundred eighty-four".