84612672 has 84 divisors (see below), whose sum is σ = 256822956. Its totient is φ = 26542080.

The previous prime is 84612659. The next prime is 84612677. The reversal of 84612672 is 27621648.

It can be written as a sum of positive squares in 2 ways, for example, as 28901376 + 55711296 = 5376^2 + 7464^2 .

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

It is not an unprimeable number, because it can be changed into a prime (84612677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5472 + ... + 14112.

Almost surely, 2^84612672 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 84612672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128411478).

84612672 is an abundant number, since it is smaller than the sum of its proper divisors (172210284).

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

84612672 is a wasteful number, since it uses less digits than its factorization.

84612672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8676 (or 8663 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 84612672 is about 9198.5146627051. The cubic root of 84612672 is about 439.0141011066.

The spelling of 84612672 in words is "eighty-four million, six hundred twelve thousand, six hundred seventy-two".