180468736 has 88 divisors (see below), whose sum is σ = 436846176. Its totient is φ = 72744960.

The previous prime is 180468733. The next prime is 180468737. The reversal of 180468736 is 637864081.

180468736 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 180468692 and 180468701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180468733) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121116 + ... + 122596.

Almost surely, 2^180468736 is an apocalyptic number.

180468736 is a gapful number since it is divisible by the number (16) 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 180468736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218423088).

180468736 is an abundant number, since it is smaller than the sum of its proper divisors (256377440).

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

180468736 is a wasteful number, since it uses less digits than its factorization.

180468736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 180468736 is about 13433.8652665568. The cubic root of 180468736 is about 565.1113008079. Note that the first 3 decimals are identical.

The spelling of 180468736 in words is "one hundred eighty million, four hundred sixty-eight thousand, seven hundred thirty-six".