166678560 has 168 divisors, whose sum is σ = 590810220. Its totient is φ = 44416512.

The previous prime is 166678559. The next prime is 166678597. The reversal of 166678560 is 65876661.

It can be written as a sum of positive squares in 2 ways, for example, as 148937616 + 17740944 = 12204^2 + 4212^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 115926 + ... + 117354.

Almost surely, 2^166678560 is an apocalyptic number.

166678560 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 166678560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295405110).

166678560 is an abundant number, since it is smaller than the sum of its proper divisors (424131660).

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

166678560 is an equidigital number, since it uses as much as digits as its factorization.

166678560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 166678560 is about 12910.4051059601. The cubic root of 166678560 is about 550.3342981449.

The spelling of 166678560 in words is "one hundred sixty-six million, six hundred seventy-eight thousand, five hundred sixty".