82439040 has 64 divisors (see below), whose sum is σ = 262780560. Its totient is φ = 21983232.

The previous prime is 82439029. The next prime is 82439047. The reversal of 82439040 is 4093428.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×82439040² = 13592390632243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 82438989 and 82439007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82439047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19549 + ... + 23388.

Almost surely, 2^82439040 is an apocalyptic number.

82439040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82439040 is an abundant number, since it is smaller than the sum of its proper divisors (180341520).

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

82439040 is a wasteful number, since it uses less digits than its factorization.

82439040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42959 (or 42947 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 82439040 is about 9079.5947046110. The cubic root of 82439040 is about 435.2221351919. Note that the first 3 decimals are identical.

The spelling of 82439040 in words is "eighty-two million, four hundred thirty-nine thousand, forty".