82246560 has 192 divisors, whose sum is σ = 290957184. Its totient is φ = 19353600.

The previous prime is 82246559. The next prime is 82246579. The reversal of 82246560 is 6564228.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195150 + ... + 195570.

It is an arithmetic number, because the mean of its divisors is an integer number (1515402).

Almost surely, 2^82246560 is an apocalyptic number.

82246560 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 82246560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145478592).

82246560 is an abundant number, since it is smaller than the sum of its proper divisors (208710624).

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

82246560 is a wasteful number, since it uses less digits than its factorization.

82246560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 82246560 is about 9068.9889182863. The cubic root of 82246560 is about 434.8831500123.

It can be divided in two parts, 82 and 246560, that added together give a palindrome (246642).

The spelling of 82246560 in words is "eighty-two million, two hundred forty-six thousand, five hundred sixty".