180690048 has 384 divisors, whose sum is σ = 683726400. Its totient is φ = 46448640.

The previous prime is 180690017. The next prime is 180690053. The reversal of 180690048 is 840096081.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 180689994 and 180690021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1862736 + ... + 1862832.

Almost surely, 2^180690048 is an apocalyptic number.

180690048 is a gapful number since it is divisible by the number (18) 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 180690048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341863200).

180690048 is an abundant number, since it is smaller than the sum of its proper divisors (503036352).

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

180690048 is a wasteful number, since it uses less digits than its factorization.

180690048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 180690048 is about 13442.0998359631. The cubic root of 180690048 is about 565.3422084363.

The spelling of 180690048 in words is "one hundred eighty million, six hundred ninety thousand, forty-eight".