66904000 has 56 divisors (see below), whose sum is σ = 165707568. Its totient is φ = 26758400.

The previous prime is 66903973. The next prime is 66904003. The reversal of 66904000 is 40966.

It is a super-2 number, since 2×66904000² = 8952290432000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66904003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3819 + ... + 12181.

Almost surely, 2^66904000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82853784).

66904000 is an abundant number, since it is smaller than the sum of its proper divisors (98803568).

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

66904000 is an equidigital number, since it uses as much as digits as its factorization.

66904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8390 (or 8370 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 66904000 is about 8179.4865364520. The cubic root of 66904000 is about 405.9607329346.

Adding to 66904000 its reverse (40966), we get a palindrome (66944966).

The spelling of 66904000 in words is "sixty-six million, nine hundred four thousand".