84768120 has 288 divisors, whose sum is σ = 318848400. Its totient is φ = 20155392.

The previous prime is 84768091. The next prime is 84768121. The reversal of 84768120 is 2186748.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84768121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4461471 + ... + 4461489.

Almost surely, 2^84768120 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 84768120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159424200).

84768120 is an abundant number, since it is smaller than the sum of its proper divisors (234080280).

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

84768120 is a wasteful number, since it uses less digits than its factorization.

84768120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 46 counting only the distinct ones).

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

The square root of 84768120 is about 9206.9604104721. The cubic root of 84768120 is about 439.2827847174.

The spelling of 84768120 in words is "eighty-four million, seven hundred sixty-eight thousand, one hundred twenty".