84076608 has 224 divisors, whose sum is σ = 285585408. Its totient is φ = 21373440.

The previous prime is 84076607. The next prime is 84076613. The reversal of 84076608 is 80667048.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (84076607) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1788841 + ... + 1788887.

Almost surely, 2^84076608 is an apocalyptic number.

84076608 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84076608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142792704).

84076608 is an abundant number, since it is smaller than the sum of its proper divisors (201508800).

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

84076608 is a wasteful number, since it uses less digits than its factorization.

84076608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 84076608 is about 9169.3297464973. The cubic root of 84076608 is about 438.0850109174.

The spelling of 84076608 in words is "eighty-four million, seventy-six thousand, six hundred eight".