180924840 has 160 divisors (see below), whose sum is σ = 640332000. Its totient is φ = 45691776.

The previous prime is 180924817. The next prime is 180924899. The reversal of 180924840 is 48429081.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 180924795 and 180924804.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 60091 + ... + 63029.

It is an arithmetic number, because the mean of its divisors is an integer number (4002075).

Almost surely, 2^180924840 is an apocalyptic number.

180924840 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 180924840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320166000).

180924840 is an abundant number, since it is smaller than the sum of its proper divisors (459407160).

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

180924840 is a wasteful number, since it uses less digits than its factorization.

180924840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 180924840 is about 13450.8304576335. The cubic root of 180924840 is about 565.5869744998.

The spelling of 180924840 in words is "one hundred eighty million, nine hundred twenty-four thousand, eight hundred forty".