82080432 has 80 divisors (see below), whose sum is σ = 269268480. Its totient is φ = 23450688.

The previous prime is 82080431. The next prime is 82080451. The reversal of 82080432 is 23408028.

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

It is a junction number, because it is equal to n+sod(n) for n = 82080396 and 82080405.

It is not an unprimeable number, because it can be changed into a prime (82080431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10548 + ... + 16595.

It is an arithmetic number, because the mean of its divisors is an integer number (3365856).

Almost surely, 2^82080432 is an apocalyptic number.

It is an amenable number.

82080432 is an abundant number, since it is smaller than the sum of its proper divisors (187188048).

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

82080432 is a wasteful number, since it uses less digits than its factorization.

82080432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27167 (or 27155 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 82080432 is about 9059.8251638760. The cubic root of 82080432 is about 434.5901490427.

It can be divided in two parts, 820804 and 32, that added together give a square (820836 = 906²).

The spelling of 82080432 in words is "eighty-two million, eighty thousand, four hundred thirty-two".