84110688 has 72 divisors (see below), whose sum is σ = 246931776. Its totient is φ = 27129600.

The previous prime is 84110671. The next prime is 84110699. The reversal of 84110688 is 88601148.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4218 + ... + 13638.

It is an arithmetic number, because the mean of its divisors is an integer number (3429608).

Almost surely, 2^84110688 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 84110688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123465888).

84110688 is an abundant number, since it is smaller than the sum of its proper divisors (162821088).

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

84110688 is a wasteful number, since it uses less digits than its factorization.

84110688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9468 (or 9457 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 84110688 is about 9171.1879274170. The cubic root of 84110688 is about 438.1441947210.

The spelling of 84110688 in words is "eighty-four million, one hundred ten thousand, six hundred eighty-eight".