82906120 has 128 divisors (see below), whose sum is σ = 219801600. Its totient is φ = 27820800.

The previous prime is 82906111. The next prime is 82906123. The reversal of 82906120 is 2160928.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (82906123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392815 + ... + 393025.

It is an arithmetic number, because the mean of its divisors is an integer number (1717200).

Almost surely, 2^82906120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82906120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109900800).

82906120 is an abundant number, since it is smaller than the sum of its proper divisors (136895480).

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

82906120 is a wasteful number, since it uses less digits than its factorization.

82906120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 82906120 is about 9105.2797870247. The cubic root of 82906120 is about 436.0425427724.

The spelling of 82906120 in words is "eighty-two million, nine hundred six thousand, one hundred twenty".