84828672 has 120 divisors (see below), whose sum is σ = 251351100. Its totient is φ = 27525120.

The previous prime is 84828643. The next prime is 84828677. The reversal of 84828672 is 27682848.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 80568576 + 4260096 = 8976^2 + 2064^2 .

It is not an unprimeable number, because it can be changed into a prime (84828677) 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, 188704 + ... + 189152.

Almost surely, 2^84828672 is an apocalyptic number.

84828672 is a gapful number since it is divisible by the number (82) 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 84828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125675550).

84828672 is an abundant number, since it is smaller than the sum of its proper divisors (166522428).

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

84828672 is a wasteful number, since it uses less digits than its factorization.

84828672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 495 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 84828672 is about 9210.2482051246. The cubic root of 84828672 is about 439.3873567356.

The spelling of 84828672 in words is "eighty-four million, eight hundred twenty-eight thousand, six hundred seventy-two".