82663980 has 144 divisors (see below), whose sum is σ = 278240256. Its totient is φ = 18264960.

The previous prime is 82663963. The next prime is 82663981. The reversal of 82663980 is 8936628.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (82663981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90687 + ... + 91593.

It is an arithmetic number, because the mean of its divisors is an integer number (1932224).

Almost surely, 2^82663980 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 82663980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139120128).

82663980 is an abundant number, since it is smaller than the sum of its proper divisors (195576276).

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

82663980 is a wasteful number, since it uses less digits than its factorization.

82663980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 82663980 is about 9091.9733831551. The cubic root of 82663980 is about 435.6176191794.

It can be divided in two parts, 8266 and 3980, that added together give a triangular number (12246 = T₁₅₆).

The spelling of 82663980 in words is "eighty-two million, six hundred sixty-three thousand, nine hundred eighty".