66182130 has 192 divisors, whose sum is σ = 215066880. Its totient is φ = 14183424.

The previous prime is 66182119. The next prime is 66182141. The reversal of 66182130 is 3128166.

It is an interprime number because it is at equal distance from previous prime (66182119) and next prime (66182141).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 66182094 and 66182103.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 682242 + ... + 682338.

It is an arithmetic number, because the mean of its divisors is an integer number (1120140).

Almost surely, 2^66182130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66182130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107533440).

66182130 is an abundant number, since it is smaller than the sum of its proper divisors (148884750).

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

66182130 is a wasteful number, since it uses less digits than its factorization.

66182130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 66182130 is about 8135.2400087520. The cubic root of 66182130 is about 404.4953934986.

The spelling of 66182130 in words is "sixty-six million, one hundred eighty-two thousand, one hundred thirty".