166416000 has 128 divisors (see below), whose sum is σ = 551828160. Its totient is φ = 44364800.

The previous prime is 166415993. The next prime is 166416011. The reversal of 166416000 is 614661.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46267 + ... + 49733.

Almost surely, 2^166416000 is an apocalyptic number.

166416000 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 166416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275914080).

166416000 is an abundant number, since it is smaller than the sum of its proper divisors (385412160).

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

166416000 is an equidigital number, since it uses as much as digits as its factorization.

166416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3499 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 166416000 is about 12900.2325560433. The cubic root of 166416000 is about 550.0451753527.

The spelling of 166416000 in words is "one hundred sixty-six million, four hundred sixteen thousand".