667238400 has 270 divisors, whose sum is σ = 2403328382. Its totient is φ = 176947200.

The previous prime is 667238329. The next prime is 667238437. The reversal of 667238400 is 4832766.

It can be written as a sum of positive squares in 3 ways, for example, as 5308416 + 661929984 = 2304^2 + 25728^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3686310 + ... + 3686490.

Almost surely, 2^667238400 is an apocalyptic number.

667238400 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 667238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201664191).

667238400 is an abundant number, since it is smaller than the sum of its proper divisors (1736089982).

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

667238400 is a wasteful number, since it uses less digits than its factorization.

667238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 667238400 is about 25830.9581703815. The cubic root of 667238400 is about 873.8301209170.

The spelling of 667238400 in words is "six hundred sixty-seven million, two hundred thirty-eight thousand, four hundred".