180026160 has 80 divisors (see below), whose sum is σ = 568651104. Its totient is φ = 47097856.

The previous prime is 180026153. The next prime is 180026173. The reversal of 180026160 is 61620081.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 180026160.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5644 + ... + 19796.

Almost surely, 2^180026160 is an apocalyptic number.

180026160 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 180026160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284325552).

180026160 is an abundant number, since it is smaller than the sum of its proper divisors (388624944).

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

180026160 is a wasteful number, since it uses less digits than its factorization.

180026160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14222 (or 14216 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 180026160 is about 13417.3827552172. The cubic root of 180026160 is about 564.6489687842.

The spelling of 180026160 in words is "one hundred eighty million, twenty-six thousand, one hundred sixty".