82980040 has 128 divisors (see below), whose sum is σ = 223171200. Its totient is φ = 27371520.

The previous prime is 82980031. The next prime is 82980041. The reversal of 82980040 is 4008928.

It is a junction number, because it is equal to n+sod(n) for n = 82979984 and 82980011.

It is not an unprimeable number, because it can be changed into a prime (82980041) 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, 508999 + ... + 509161.

It is an arithmetic number, because the mean of its divisors is an integer number (1743525).

Almost surely, 2^82980040 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 82980040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111585600).

82980040 is an abundant number, since it is smaller than the sum of its proper divisors (140191160).

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

82980040 is a wasteful number, since it uses less digits than its factorization.

82980040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 82980040 is about 9109.3380659629. The cubic root of 82980040 is about 436.1720977034.

Adding to 82980040 its reverse (4008928), we get a palindrome (86988968).

The spelling of 82980040 in words is "eighty-two million, nine hundred eighty thousand, forty".