82159920 has 200 divisors, whose sum is σ = 295278720. Its totient is φ = 21150720.

The previous prime is 82159897. The next prime is 82160003. The reversal of 82159920 is 2995128.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 200676 + ... + 201084.

Almost surely, 2^82159920 is an apocalyptic number.

82159920 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 82159920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147639360).

82159920 is an abundant number, since it is smaller than the sum of its proper divisors (213118800).

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

82159920 is a wasteful number, since it uses less digits than its factorization.

82159920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 82159920 is about 9064.2109419408. The cubic root of 82159920 is about 434.7303917928.

The spelling of 82159920 in words is "eighty-two million, one hundred fifty-nine thousand, nine hundred twenty".