84728340 has 72 divisors (see below), whose sum is σ = 272137320. Its totient is φ = 21264384.

The previous prime is 84728339. The next prime is 84728341. The reversal of 84728340 is 4382748.

It is an interprime number because it is at equal distance from previous prime (84728339) and next prime (84728341).

It can be written as a sum of positive squares in 4 ways, for example, as 3944196 + 80784144 = 1986^2 + 8988^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 84728295 and 84728304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84728341) by changing a digit.

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, 10785 + ... + 16904.

It is an arithmetic number, because the mean of its divisors is an integer number (3779685).

Almost surely, 2^84728340 is an apocalyptic number.

It is an amenable number.

84728340 is an abundant number, since it is smaller than the sum of its proper divisors (187408980).

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

84728340 is a wasteful number, since it uses less digits than its factorization.

84728340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27721 (or 27716 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 84728340 is about 9204.7998348688. The cubic root of 84728340 is about 439.2140583952.

The spelling of 84728340 in words is "eighty-four million, seven hundred twenty-eight thousand, three hundred forty".