180979920 has 200 divisors, whose sum is σ = 685982880. Its totient is φ = 43856640.

The previous prime is 180979861. The next prime is 180979951. The reversal of 180979920 is 29979081.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 70011 + ... + 72549.

Almost surely, 2^180979920 is an apocalyptic number.

180979920 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 180979920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342991440).

180979920 is an abundant number, since it is smaller than the sum of its proper divisors (505002960).

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

180979920 is a wasteful number, since it uses less digits than its factorization.

180979920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 180979920 is about 13452.8777590522. The cubic root of 180979920 is about 565.6443636524.

It can be divided in two parts, 180 and 979920, that added together give a square (980100 = 990²).

The spelling of 180979920 in words is "one hundred eighty million, nine hundred seventy-nine thousand, nine hundred twenty".