82095120 has 240 divisors, whose sum is σ = 295731072. Its totient is φ = 21150720.

The previous prime is 82095109. The next prime is 82095131. The reversal of 82095120 is 2159028.

It is an interprime number because it is at equal distance from previous prime (82095109) and next prime (82095131).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 796989 + ... + 797091.

Almost surely, 2^82095120 is an apocalyptic number.

82095120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82095120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147865536).

82095120 is an abundant number, since it is smaller than the sum of its proper divisors (213635952).

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

82095120 is a wasteful number, since it uses less digits than its factorization.

82095120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 82095120 is about 9060.6357392845. The cubic root of 82095120 is about 434.6160702813.

It can be divided in two parts, 82095 and 120, that added together give a triangular number (82215 = T₄₀₅).

The spelling of 82095120 in words is "eighty-two million, ninety-five thousand, one hundred twenty".