82029120 has 56 divisors (see below), whose sum is σ = 260445504. Its totient is φ = 21874176.

The previous prime is 82029091. The next prime is 82029127. The reversal of 82029120 is 2192028.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (82029127) 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, 41764 + ... + 43683.

Almost surely, 2^82029120 is an apocalyptic number.

82029120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82029120 is an abundant number, since it is smaller than the sum of its proper divisors (178416384).

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

82029120 is a wasteful number, since it uses less digits than its factorization.

82029120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85467 (or 85457 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 82029120 is about 9056.9928784338. The cubic root of 82029120 is about 434.4995698485.

The spelling of 82029120 in words is "eighty-two million, twenty-nine thousand, one hundred twenty".