667161600 has 528 divisors, whose sum is σ = 2704791168. Its totient is φ = 141557760.

The previous prime is 667161589. The next prime is 667161619. The reversal of 667161600 is 6161766.

It is a congruent number.

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, 9139164 + ... + 9139236.

Almost surely, 2^667161600 is an apocalyptic number.

667161600 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 667161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352395584).

667161600 is an abundant number, since it is smaller than the sum of its proper divisors (2037629568).

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

667161600 is a wasteful number, since it uses less digits than its factorization.

667161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 667161600 is about 25829.4715393095. The cubic root of 667161600 is about 873.7965933062.

The spelling of 667161600 in words is "six hundred sixty-seven million, one hundred sixty-one thousand, six hundred".