166361600 has 120 divisors (see below), whose sum is σ = 423558828. Its totient is φ = 64716800.

The previous prime is 166361581. The next prime is 166361621. The reversal of 166361600 is 6163661.

It can be written as a sum of positive squares in 6 ways, for example, as 1290496 + 165071104 = 1136^2 + 12848^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 524642 + ... + 524958.

Almost surely, 2^166361600 is an apocalyptic number.

166361600 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 166361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211779414).

166361600 is an abundant number, since it is smaller than the sum of its proper divisors (257197228).

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

166361600 is an equidigital number, since it uses as much as digits as its factorization.

166361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 166361600 is about 12898.1238945825. The cubic root of 166361600 is about 549.9852337633.

The spelling of 166361600 in words is "one hundred sixty-six million, three hundred sixty-one thousand, six hundred".