84888160 has 48 divisors (see below), whose sum is σ = 229201056. Its totient is φ = 29104128.

The previous prime is 84888151. The next prime is 84888169. The reversal of 84888160 is 6188848.

It is an interprime number because it is at equal distance from previous prime (84888151) and next prime (84888169).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84888169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36777 + ... + 39016.

It is an arithmetic number, because the mean of its divisors is an integer number (4775022).

Almost surely, 2^84888160 is an apocalyptic number.

84888160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84888160 is an abundant number, since it is smaller than the sum of its proper divisors (144312896).

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

84888160 is a wasteful number, since it uses less digits than its factorization.

84888160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75815 (or 75807 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 43.

The square root of 84888160 is about 9213.4770852268. The cubic root of 84888160 is about 439.4900428000.

The spelling of 84888160 in words is "eighty-four million, eight hundred eighty-eight thousand, one hundred sixty".