84100672 has 56 divisors (see below), whose sum is σ = 173223936. Its totient is φ = 40485888.

The previous prime is 84100657. The next prime is 84100693. The reversal of 84100672 is 27600148.

It is a self number, because there is not a number n which added to its sum of digits gives 84100672.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219393 + ... + 219775.

Almost surely, 2^84100672 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 84100672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86611968).

84100672 is an abundant number, since it is smaller than the sum of its proper divisors (89123264).

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

84100672 is a wasteful number, since it uses less digits than its factorization.

84100672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 84100672 is about 9170.6418532183. The cubic root of 84100672 is about 438.1268024547.

The spelling of 84100672 in words is "eighty-four million, one hundred thousand, six hundred seventy-two".