82863360 has 108 divisors (see below), whose sum is σ = 286738452. Its totient is φ = 22093824.

The previous prime is 82863359. The next prime is 82863373. The reversal of 82863360 is 6336828.

It can be written as a sum of positive squares in 2 ways, for example, as 15492096 + 67371264 = 3936^2 + 8208^2 .

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 11 ways as a sum of consecutive naturals, for example, 7924 + ... + 15116.

Almost surely, 2^82863360 is an apocalyptic number.

82863360 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 82863360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143369226).

82863360 is an abundant number, since it is smaller than the sum of its proper divisors (203875092).

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

82863360 is a wasteful number, since it uses less digits than its factorization.

82863360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7220 (or 7203 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 82863360 is about 9102.9313959845. The cubic root of 82863360 is about 435.9675648514.

The spelling of 82863360 in words is "eighty-two million, eight hundred sixty-three thousand, three hundred sixty".