82980144 has 120 divisors (see below), whose sum is σ = 263368560. Its totient is φ = 24178176.

The previous prime is 82980127. The next prime is 82980151. The reversal of 82980144 is 44108928.

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

It is a junction number, because it is equal to n+sod(n) for n = 82980099 and 82980108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34402 + ... + 36734.

It is an arithmetic number, because the mean of its divisors is an integer number (2194738).

Almost surely, 2^82980144 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 82980144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131684280).

82980144 is an abundant number, since it is smaller than the sum of its proper divisors (180388416).

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

82980144 is a wasteful number, since it uses less digits than its factorization.

82980144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 82980144 is about 9109.3437743890. The cubic root of 82980144 is about 436.1722799234.

The spelling of 82980144 in words is "eighty-two million, nine hundred eighty thousand, one hundred forty-four".