84872160 has 144 divisors (see below), whose sum is σ = 306751536. Its totient is φ = 21295104.

The previous prime is 84872129. The next prime is 84872171. The reversal of 84872160 is 6127848.

It is a tau number, because it is divible by the number of its divisors (144).

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, 22747 + ... + 26213.

It is an arithmetic number, because the mean of its divisors is an integer number (2130219).

Almost surely, 2^84872160 is an apocalyptic number.

84872160 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 84872160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153375768).

84872160 is an abundant number, since it is smaller than the sum of its proper divisors (221879376).

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

84872160 is a wasteful number, since it uses less digits than its factorization.

84872160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3505 (or 3494 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 84872160 is about 9212.6087510542. The cubic root of 84872160 is about 439.4624288881.

The spelling of 84872160 in words is "eighty-four million, eight hundred seventy-two thousand, one hundred sixty".