667296000 has 432 divisors, whose sum is σ = 2752434048. Its totient is φ = 152064000.

The previous prime is 667295969. The next prime is 667296031. The reversal of 667296000 is 692766.

It is an interprime number because it is at equal distance from previous prime (667295969) and next prime (667296031).

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 47 ways as a sum of consecutive naturals, for example, 2015835 + ... + 2016165.

Almost surely, 2^667296000 is an apocalyptic number.

667296000 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 667296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376217024).

667296000 is an abundant number, since it is smaller than the sum of its proper divisors (2085138048).

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

667296000 is a wasteful number, since it uses less digits than its factorization.

667296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 667296000 is about 25832.0730875398. The cubic root of 667296000 is about 873.8552649369.

The spelling of 667296000 in words is "six hundred sixty-seven million, two hundred ninety-six thousand".