66829344 has 48 divisors (see below), whose sum is σ = 179716320. Its totient is φ = 21731840.

The previous prime is 66829337. The next prime is 66829349. The reversal of 66829344 is 44392866.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×66829344² = 8932322438940672, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 66829296 and 66829305.

It is not an unprimeable number, because it can be changed into a prime (66829349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4554 + ... + 12425.

It is an arithmetic number, because the mean of its divisors is an integer number (3744090).

Almost surely, 2^66829344 is an apocalyptic number.

It is an amenable number.

66829344 is an abundant number, since it is smaller than the sum of its proper divisors (112886976).

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

66829344 is a wasteful number, since it uses less digits than its factorization.

66829344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17033 (or 17025 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 66829344 is about 8174.9216510007. The cubic root of 66829344 is about 405.8096772703.

The spelling of 66829344 in words is "sixty-six million, eight hundred twenty-nine thousand, three hundred forty-four".