84980160 has 168 divisors, whose sum is σ = 307878480. Its totient is φ = 21454848.

The previous prime is 84980153. The next prime is 84980177. The reversal of 84980160 is 6108948.

It is a happy number.

84980160 is a `hidden beast` number, since 8 + 498 + 0 + 160 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53944 + ... + 55496.

It is an arithmetic number, because the mean of its divisors is an integer number (1832610).

Almost surely, 2^84980160 is an apocalyptic number.

84980160 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 84980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153939240).

84980160 is an abundant number, since it is smaller than the sum of its proper divisors (222898320).

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

84980160 is a wasteful number, since it uses less digits than its factorization.

84980160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 84980160 is about 9218.4684194285. The cubic root of 84980160 is about 439.6487554948.

The spelling of 84980160 in words is "eighty-four million, nine hundred eighty thousand, one hundred sixty".