84628264 has 96 divisors (see below), whose sum is σ = 198489600. Its totient is φ = 33062400.

The previous prime is 84628259. The next prime is 84628273. The reversal of 84628264 is 46282648.

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 23 ways as a sum of consecutive naturals, for example, 2064084 + ... + 2064124.

It is an arithmetic number, because the mean of its divisors is an integer number (2067600).

Almost surely, 2^84628264 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 84628264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99244800).

84628264 is an abundant number, since it is smaller than the sum of its proper divisors (113861336).

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

84628264 is a wasteful number, since it uses less digits than its factorization.

84628264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 110 counting only the distinct ones).

The product of its digits is 147456, while the sum is 40.

The square root of 84628264 is about 9199.3621518016. The cubic root of 84628264 is about 439.0410658913.

The spelling of 84628264 in words is "eighty-four million, six hundred twenty-eight thousand, two hundred sixty-four".