66582516 has 192 divisors, whose sum is σ = 218566656. Its totient is φ = 15206400.

The previous prime is 66582511. The next prime is 66582547. The reversal of 66582516 is 61528566.

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

Its product of digits (86400) is a multiple of the sum of its prime divisors (300).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66582511) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 276156 + ... + 276396.

It is an arithmetic number, because the mean of its divisors is an integer number (1138368).

Almost surely, 2^66582516 is an apocalyptic number.

66582516 is a gapful number since it is divisible by the number (66) 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 66582516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109283328).

66582516 is an abundant number, since it is smaller than the sum of its proper divisors (151984140).

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

66582516 is a wasteful number, since it uses less digits than its factorization.

66582516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 300 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 66582516 is about 8159.8110272236. The cubic root of 66582516 is about 405.3094540868.

The spelling of 66582516 in words is "sixty-six million, five hundred eighty-two thousand, five hundred sixteen".