166461312 has 128 divisors (see below), whose sum is σ = 461815200. Its totient is φ = 53084160.

The previous prime is 166461301. The next prime is 166461329. The reversal of 166461312 is 213164661.

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

It is a super-2 number, since 2×166461312² = 55418736785522688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 166461312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1527114 + ... + 1527222.

Almost surely, 2^166461312 is an apocalyptic number.

166461312 is a gapful number since it is divisible by the number (12) 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 166461312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230907600).

166461312 is an abundant number, since it is smaller than the sum of its proper divisors (295353888).

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

166461312 is a wasteful number, since it uses less digits than its factorization.

166461312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 252 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 166461312 is about 12901.9886839200. The cubic root of 166461312 is about 550.0950931996.

The spelling of 166461312 in words is "one hundred sixty-six million, four hundred sixty-one thousand, three hundred twelve".