82465120 has 48 divisors (see below), whose sum is σ = 203303520. Its totient is φ = 31550464.

The previous prime is 82465109. The next prime is 82465127. The reversal of 82465120 is 2156428.

It is a super-2 number, since 2×82465120² = 13600992033228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82465127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7525 + ... + 14884.

It is an arithmetic number, because the mean of its divisors is an integer number (4235490).

Almost surely, 2^82465120 is an apocalyptic number.

82465120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82465120 is an abundant number, since it is smaller than the sum of its proper divisors (120838400).

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

82465120 is a wasteful number, since it uses less digits than its factorization.

82465120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22447 (or 22439 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 82465120 is about 9081.0307784965. The cubic root of 82465120 is about 435.2680252482.

It can be divided in two parts, 8246 and 5120, that added together give a triangular number (13366 = T₁₆₃).

The spelling of 82465120 in words is "eighty-two million, four hundred sixty-five thousand, one hundred twenty".