84876120 has 256 divisors, whose sum is σ = 329472000. Its totient is φ = 19035648.

The previous prime is 84876107. The next prime is 84876133. The reversal of 84876120 is 2167848.

It is an interprime number because it is at equal distance from previous prime (84876107) and next prime (84876133).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 778626 + ... + 778734.

It is an arithmetic number, because the mean of its divisors is an integer number (1287000).

Almost surely, 2^84876120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84876120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164736000).

84876120 is an abundant number, since it is smaller than the sum of its proper divisors (244595880).

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

84876120 is a wasteful number, since it uses less digits than its factorization.

84876120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 229 counting only the distinct ones).

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

The square root of 84876120 is about 9212.8236713833. The cubic root of 84876120 is about 439.4692636544.

The spelling of 84876120 in words is "eighty-four million, eight hundred seventy-six thousand, one hundred twenty".