82846404 has 81 divisors (see below), whose sum is σ = 220607751. Its totient is φ = 26213760.

The previous prime is 82846399. The next prime is 82846411. The reversal of 82846404 is 40464828.

The square root of 82846404 is 9102.

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

82846404 is a `hidden beast` number, since 8 + 2 + 8 + 4 + 640 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 980100 + 81866304 = 990^2 + 9048^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2020624 + ... + 2020664.

Almost surely, 2^82846404 is an apocalyptic number.

82846404 is the 9102-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82846404

82846404 is an abundant number, since it is smaller than the sum of its proper divisors (137761347).

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

82846404 is a wasteful number, since it uses less digits than its factorization.

82846404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The cubic root of 82846404 is about 435.9378260529.

Multiplying 82846404 by its sum of digits (36), we get a square (2982470544 = 54612²).

82846404 divided by its sum of digits (36) gives a square (2301289 = 1517²).

The spelling of 82846404 in words is "eighty-two million, eight hundred forty-six thousand, four hundred four".