66582282 has 32 divisors (see below), whose sum is σ = 144285120. Its totient is φ = 20482800.

The previous prime is 66582253. The next prime is 66582311. The reversal of 66582282 is 28228566.

It is an interprime number because it is at equal distance from previous prime (66582253) and next prime (66582311).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 66582282.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10657 + ... + 15707.

It is an arithmetic number, because the mean of its divisors is an integer number (4508910).

Almost surely, 2^66582282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66582282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72142560).

66582282 is an abundant number, since it is smaller than the sum of its proper divisors (77702838).

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

66582282 is a wasteful number, since it uses less digits than its factorization.

66582282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5095 (or 5069 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 66582282 is about 8159.7966886437. The cubic root of 66582282 is about 405.3089792748.

The spelling of 66582282 in words is "sixty-six million, five hundred eighty-two thousand, two hundred eighty-two".