82443600 has 90 divisors (see below), whose sum is σ = 286114686. Its totient is φ = 21984000.

The previous prime is 82443583. The next prime is 82443623. The reversal of 82443600 is 634428.

It can be written as a sum of positive squares in 3 ways, for example, as 24561936 + 57881664 = 4956^2 + 7608^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7851 + ... + 15050.

Almost surely, 2^82443600 is an apocalyptic number.

82443600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82443600 is an abundant number, since it is smaller than the sum of its proper divisors (203671086).

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

82443600 is a wasteful number, since it uses less digits than its factorization.

82443600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22925 (or 22911 counting only the distinct ones).

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

The square root of 82443600 is about 9079.8458136689. The cubic root of 82443600 is about 435.2301596115.

The spelling of 82443600 in words is "eighty-two million, four hundred forty-three thousand, six hundred".