667674000 has 360 divisors, whose sum is σ = 2716274808. Its totient is φ = 152409600.

The previous prime is 667673999. The next prime is 667674017. The reversal of 667674000 is 476766.

It can be written as a sum of positive squares in 4 ways, for example, as 15586704 + 652087296 = 3948^2 + 25536^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 881622 + ... + 882378.

Almost surely, 2^667674000 is an apocalyptic number.

667674000 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 667674000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358137404).

667674000 is an abundant number, since it is smaller than the sum of its proper divisors (2048600808).

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

667674000 is a wasteful number, since it uses less digits than its factorization.

667674000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 667674000 is about 25839.3885376570. The cubic root of 667674000 is about 874.0202366729.

The spelling of 667674000 in words is "six hundred sixty-seven million, six hundred seventy-four thousand".