82023120 has 60 divisors (see below), whose sum is σ = 275463396. Its totient is φ = 21872640.

The previous prime is 82023091. The next prime is 82023121. The reversal of 82023120 is 2132028.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 26132544 + 55890576 = 5112^2 + 7476^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 82023093 and 82023102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82023121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56241 + ... + 57680.

Almost surely, 2^82023120 is an apocalyptic number.

82023120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82023120 is an abundant number, since it is smaller than the sum of its proper divisors (193440276).

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

82023120 is a wasteful number, since it uses less digits than its factorization.

82023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113940 (or 113931 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 82023120 is about 9056.6616366076. The cubic root of 82023120 is about 434.4889758018.

Adding to 82023120 its reverse (2132028), we get a palindrome (84155148).

The spelling of 82023120 in words is "eighty-two million, twenty-three thousand, one hundred twenty".