84039768 has 80 divisors (see below), whose sum is σ = 239928480. Its totient is φ = 27473472.

The previous prime is 84039749. The next prime is 84039797. The reversal of 84039768 is 86793048.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33121 + ... + 35567.

It is an arithmetic number, because the mean of its divisors is an integer number (2999106).

Almost surely, 2^84039768 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 84039768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119964240).

84039768 is an abundant number, since it is smaller than the sum of its proper divisors (155888712).

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

84039768 is a wasteful number, since it uses less digits than its factorization.

84039768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 84039768 is about 9167.3206554587. The cubic root of 84039768 is about 438.0210160680.

The spelling of 84039768 in words is "eighty-four million, thirty-nine thousand, seven hundred sixty-eight".