166887600 has 240 divisors, whose sum is σ = 597818880. Its totient is φ = 39449600.

The previous prime is 166887557. The next prime is 166887629. The reversal of 166887600 is 6788661.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 620266 + ... + 620534.

It is an arithmetic number, because the mean of its divisors is an integer number (2490912).

Almost surely, 2^166887600 is an apocalyptic number.

166887600 is a gapful number since it is divisible by the number (10) 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 166887600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298909440).

166887600 is an abundant number, since it is smaller than the sum of its proper divisors (430931280).

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

166887600 is a wasteful number, since it uses less digits than its factorization.

166887600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 166887600 is about 12918.4983647481. The cubic root of 166887600 is about 550.5642693779.

It can be divided in two parts, 16 and 6887600, that added together give a triangular number (6887616 = T₃₇₁₁).

The spelling of 166887600 in words is "one hundred sixty-six million, eight hundred eighty-seven thousand, six hundred".