82832240 has 20 divisors (see below), whose sum is σ = 192585144. Its totient is φ = 33132864.

The previous prime is 82832219. The next prime is 82832249. The reversal of 82832240 is 4223828.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×82832240² = 13722359966835200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82832249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 517622 + ... + 517781.

Almost surely, 2^82832240 is an apocalyptic number.

82832240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82832240 is an abundant number, since it is smaller than the sum of its proper divisors (109752904).

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

82832240 is a wasteful number, since it uses less digits than its factorization.

82832240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035416 (or 1035410 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 82832240 is about 9101.2218959874. The cubic root of 82832240 is about 435.9129809782.

The spelling of 82832240 in words is "eighty-two million, eight hundred thirty-two thousand, two hundred forty".