84779604 has 108 divisors (see below), whose sum is σ = 268541364. Its totient is φ = 22353408.

The previous prime is 84779599. The next prime is 84779621. The reversal of 84779604 is 40697748.

It can be written as a sum of positive squares in 2 ways, for example, as 9922500 + 74857104 = 3150^2 + 8652^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 84779604.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 21084 + ... + 24780.

Almost surely, 2^84779604 is an apocalyptic number.

84779604 is a gapful number since it is divisible by the number (84) 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 84779604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134270682).

84779604 is an abundant number, since it is smaller than the sum of its proper divisors (183761760).

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

84779604 is a wasteful number, since it uses less digits than its factorization.

84779604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3734 (or 3722 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 84779604 is about 9207.5840479466. The cubic root of 84779604 is about 439.3026211674.

It can be divided in two parts, 8477 and 9604, that added together give a palindrome (18081).

The spelling of 84779604 in words is "eighty-four million, seven hundred seventy-nine thousand, six hundred four".