82663680 has 288 divisors, whose sum is σ = 306109440. Its totient is φ = 18800640.

The previous prime is 82663631. The next prime is 82663697. The reversal of 82663680 is 8636628.

It is a super-2 number, since 2×82663680² = 13666567982284800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 802509 + ... + 802611.

It is an arithmetic number, because the mean of its divisors is an integer number (1062880).

Almost surely, 2^82663680 is an apocalyptic number.

82663680 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 82663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153054720).

82663680 is an abundant number, since it is smaller than the sum of its proper divisors (223445760).

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

82663680 is a wasteful number, since it uses less digits than its factorization.

82663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 82663680 is about 9091.9568850716. The cubic root of 82663680 is about 435.6170922048.

The spelling of 82663680 in words is "eighty-two million, six hundred sixty-three thousand, six hundred eighty".