82888260 has 384 divisors, whose sum is σ = 325140480. Its totient is φ = 15261696.

The previous prime is 82888259. The next prime is 82888291. The reversal of 82888260 is 6288828.

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

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 127 ways as a sum of consecutive naturals, for example, 1763557 + ... + 1763603.

It is an arithmetic number, because the mean of its divisors is an integer number (846720).

Almost surely, 2^82888260 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 82888260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162570240).

82888260 is an abundant number, since it is smaller than the sum of its proper divisors (242252220).

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

82888260 is a wasteful number, since it uses less digits than its factorization.

82888260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 82888260 is about 9104.2989845457. The cubic root of 82888260 is about 436.0112291247.

The spelling of 82888260 in words is "eighty-two million, eight hundred eighty-eight thousand, two hundred sixty".