1821725360 has 120 divisors (see below), whose sum is σ = 5241852000. Its totient is φ = 576516096.

The previous prime is 1821725333. The next prime is 1821725369. The reversal of 1821725360 is 635271281.

It is a happy number.

1821725360 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1821725360.

It is not an unprimeable number, because it can be changed into a prime (1821725369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85016 + ... + 104264.

It is an arithmetic number, because the mean of its divisors is an integer number (43682100).

Almost surely, 2^1821725360 is an apocalyptic number.

1821725360 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 1821725360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620926000).

1821725360 is an abundant number, since it is smaller than the sum of its proper divisors (3420126640).

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

1821725360 is a wasteful number, since it uses less digits than its factorization.

1821725360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19295 (or 19276 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 1821725360 is about 42681.6747562698. The cubic root of 1821725360 is about 1221.3148415052.

The spelling of 1821725360 in words is "one billion, eight hundred twenty-one million, seven hundred twenty-five thousand, three hundred sixty".