180826240 has 128 divisors (see below), whose sum is σ = 499000320. Its totient is φ = 61378560.

The previous prime is 180826231. The next prime is 180826241. The reversal of 180826240 is 42628081.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (180826241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 810769 + ... + 810991.

It is an arithmetic number, because the mean of its divisors is an integer number (3898440).

Almost surely, 2^180826240 is an apocalyptic number.

180826240 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 180826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249500160).

180826240 is an abundant number, since it is smaller than the sum of its proper divisors (318174080).

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

180826240 is a wasteful number, since it uses less digits than its factorization.

180826240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 180826240 is about 13447.1647569292. The cubic root of 180826240 is about 565.4842117368.

The spelling of 180826240 in words is "one hundred eighty million, eight hundred twenty-six thousand, two hundred forty".