84077136 has 160 divisors (see below), whose sum is σ = 283731840. Its totient is φ = 23500800.

The previous prime is 84077117. The next prime is 84077153. The reversal of 84077136 is 63177048.

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

It is a self number, because there is not a number n which added to its sum of digits gives 84077136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61096 + ... + 62456.

It is an arithmetic number, because the mean of its divisors is an integer number (1773324).

Almost surely, 2^84077136 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 84077136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141865920).

84077136 is an abundant number, since it is smaller than the sum of its proper divisors (199654704).

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

84077136 is a wasteful number, since it uses less digits than its factorization.

84077136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 84077136 is about 9169.3585380876. The cubic root of 84077136 is about 438.0859279715.

The spelling of 84077136 in words is "eighty-four million, seventy-seven thousand, one hundred thirty-six".