84192160 has 96 divisors (see below), whose sum is σ = 226899792. Its totient is φ = 29245440.

The previous prime is 84192149. The next prime is 84192179. The reversal of 84192160 is 6129148.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6822544 + 77369616 = 2612^2 + 8796^2 .

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, 34170 + ... + 36550.

Almost surely, 2^84192160 is an apocalyptic number.

84192160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84192160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113449896).

84192160 is an abundant number, since it is smaller than the sum of its proper divisors (142707632).

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

84192160 is a wasteful number, since it uses less digits than its factorization.

84192160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 84192160 is about 9175.6285888216. The cubic root of 84192160 is about 438.2856153709.

The spelling of 84192160 in words is "eighty-four million, one hundred ninety-two thousand, one hundred sixty".