667152000 has 384 divisors, whose sum is σ = 2476066320. Its totient is φ = 172032000.

The previous prime is 667151987. The next prime is 667152001. The reversal of 667152000 is 251766.

667152000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 115089984 + 552062016 = 10728^2 + 23496^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×667152000² = 890183582208000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667152001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5903944 + ... + 5904056.

Almost surely, 2^667152000 is an apocalyptic number.

667152000 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 667152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238033160).

667152000 is an abundant number, since it is smaller than the sum of its proper divisors (1808914320).

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

667152000 is a wasteful number, since it uses less digits than its factorization.

667152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 667152000 is about 25829.2857044092. The cubic root of 667152000 is about 873.7924021739.

The spelling of 667152000 in words is "six hundred sixty-seven million, one hundred fifty-two thousand".