166305360 has 160 divisors (see below), whose sum is σ = 560464128. Its totient is φ = 40550400.

The previous prime is 166305353. The next prime is 166305367. The reversal of 166305360 is 63503661.

166305360 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (166305353) and next prime (166305367).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166305367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 470944 + ... + 471296.

Almost surely, 2^166305360 is an apocalyptic number.

166305360 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 166305360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280232064).

166305360 is an abundant number, since it is smaller than the sum of its proper divisors (394158768).

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

166305360 is a wasteful number, since it uses less digits than its factorization.

166305360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 166305360 is about 12895.9435482635. The cubic root of 166305360 is about 549.9232509987.

The spelling of 166305360 in words is "one hundred sixty-six million, three hundred five thousand, three hundred sixty".