180890040 has 128 divisors (see below), whose sum is σ = 563397120. Its totient is φ = 46425600.

The previous prime is 180890033. The next prime is 180890063. The reversal of 180890040 is 40098081.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 581485 + ... + 581795.

It is an arithmetic number, because the mean of its divisors is an integer number (4401540).

Almost surely, 2^180890040 is an apocalyptic number.

180890040 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 180890040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281698560).

180890040 is an abundant number, since it is smaller than the sum of its proper divisors (382507080).

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

180890040 is a wasteful number, since it uses less digits than its factorization.

180890040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 180890040 is about 13449.5367949978. The cubic root of 180890040 is about 565.5507095535.

The spelling of 180890040 in words is "one hundred eighty million, eight hundred ninety thousand, forty".