84908160 has 96 divisors (see below), whose sum is σ = 293218380. Its totient is φ = 22640640.

The previous prime is 84908147. The next prime is 84908189. The reversal of 84908160 is 6180948.

It is a happy number.

84908160 is a `hidden beast` number, since 8 + 490 + 8 + 160 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 80138304 + 4769856 = 8952^2 + 2184^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1611 + ... + 13130.

Almost surely, 2^84908160 is an apocalyptic number.

84908160 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 84908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146609190).

84908160 is an abundant number, since it is smaller than the sum of its proper divisors (208310220).

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

84908160 is a wasteful number, since it uses less digits than its factorization.

84908160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14766 (or 14751 counting only the distinct ones).

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

The square root of 84908160 is about 9214.5623878728. The cubic root of 84908160 is about 439.5245553109.

The spelling of 84908160 in words is "eighty-four million, nine hundred eight thousand, one hundred sixty".