84603204 has 135 divisors (see below), whose sum is σ = 260851437. Its totient is φ = 23841216.

The previous prime is 84603191. The next prime is 84603217. The reversal of 84603204 is 40230648.

The square root of 84603204 is 9198.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (84603191) and next prime (84603217).

It can be written as a sum of positive squares in only one way, i.e., 48024900 + 36578304 = 6930^2 + 6048^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 44 ways as a sum of consecutive naturals, for example, 1158912 + ... + 1158984.

Almost surely, 2^84603204 is an apocalyptic number.

84603204 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

84603204 is the 9198-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84603204

84603204 is an abundant number, since it is smaller than the sum of its proper divisors (176248233).

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

84603204 is a wasteful number, since it uses less digits than its factorization.

84603204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The cubic root of 84603204 is about 438.9977255431.

It can be divided in two parts, 8460 and 3204, that added together give a square (11664 = 108²).

The spelling of 84603204 in words is "eighty-four million, six hundred three thousand, two hundred four".