66829182 has 64 divisors (see below), whose sum is σ = 157248000. Its totient is φ = 18541440.

The previous prime is 66829177. The next prime is 66829187. The reversal of 66829182 is 28192866.

It is an interprime number because it is at equal distance from previous prime (66829177) and next prime (66829187).

It is a super-2 number, since 2×66829182² = 8932279133578248, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66829187) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369132 + ... + 369312.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 2^66829182 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66829182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78624000).

66829182 is an abundant number, since it is smaller than the sum of its proper divisors (90418818).

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

66829182 is a wasteful number, since it uses less digits than its factorization.

66829182 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401.

The product of its digits is 82944, while the sum is 42.

The square root of 66829182 is about 8174.9117426429. The cubic root of 66829182 is about 405.8093493644.

The spelling of 66829182 in words is "sixty-six million, eight hundred twenty-nine thousand, one hundred eighty-two".