82260288 has 84 divisors (see below), whose sum is σ = 257239008. Its totient is φ = 24925440.

The previous prime is 82260281. The next prime is 82260317. The reversal of 82260288 is 88206228.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82260281) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 156 + ... + 12827.

Almost surely, 2^82260288 is an apocalyptic number.

82260288 is a gapful number since it is divisible by the number (88) 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 82260288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128619504).

82260288 is an abundant number, since it is smaller than the sum of its proper divisors (174978720).

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

82260288 is a wasteful number, since it uses less digits than its factorization.

82260288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13012 (or 12999 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 82260288 is about 9069.7457516735. The cubic root of 82260288 is about 434.9073445146.

The spelling of 82260288 in words is "eighty-two million, two hundred sixty thousand, two hundred eighty-eight".