667104000 has 144 divisors (see below), whose sum is σ = 2216104800. Its totient is φ = 177868800.

The previous prime is 667103999. The next prime is 667104013. The reversal of 667104000 is 401766.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92526 + ... + 99474.

Almost surely, 2^667104000 is an apocalyptic number.

667104000 is a gapful number since it is divisible by the number (60) 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 667104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108052400).

667104000 is an abundant number, since it is smaller than the sum of its proper divisors (1549000800).

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

667104000 is an equidigital number, since it uses as much as digits as its factorization.

667104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6983 (or 6959 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 667104000 is about 25828.3565098517. The cubic root of 667104000 is about 873.7714459095.

Adding to 667104000 its reverse (401766), we get a palindrome (667505766).

The spelling of 667104000 in words is "six hundred sixty-seven million, one hundred four thousand".