180981504 has 216 divisors, whose sum is σ = 587666352. Its totient is φ = 53084160.

The previous prime is 180981499. The next prime is 180981523. The reversal of 180981504 is 405189081.

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

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 23 ways as a sum of consecutive naturals, for example, 937632 + ... + 937824.

Almost surely, 2^180981504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180981504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293833176).

180981504 is an abundant number, since it is smaller than the sum of its proper divisors (406684848).

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

180981504 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (180981503) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (246).

180981504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 180981504 is about 13452.9366310854. The cubic root of 180981504 is about 565.6460138871.

The spelling of 180981504 in words is "one hundred eighty million, nine hundred eighty-one thousand, five hundred four".