166800060 has 144 divisors (see below), whose sum is σ = 599778816. Its totient is φ = 38117952.

The previous prime is 166800059. The next prime is 166800061. The reversal of 166800060 is 60008661.

It is an interprime number because it is at equal distance from previous prime (166800059) and next prime (166800061).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 166799997 and 166800033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166800061) 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, 31569 + ... + 36471.

Almost surely, 2^166800060 is an apocalyptic number.

166800060 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 166800060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299889408).

166800060 is an abundant number, since it is smaller than the sum of its proper divisors (432978756).

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

166800060 is a wasteful number, since it uses less digits than its factorization.

166800060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4934 (or 4920 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 166800060 is about 12915.1097556312. The cubic root of 166800060 is about 550.4679873580.

The spelling of 166800060 in words is "one hundred sixty-six million, eight hundred thousand, sixty".