1813228560 has 360 divisors, whose sum is σ = 7212710232. Its totient is φ = 405504000.

The previous prime is 1813228559. The next prime is 1813228561. The reversal of 1813228560 is 658223181.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1813228559) and next prime (1813228561).

It can be written as a sum of positive squares in 4 ways, for example, as 407878416 + 1405350144 = 20196^2 + 37488^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×1813228560³ (a number of 29 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1813228561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1131760 + ... + 1133360.

Almost surely, 2^1813228560 is an apocalyptic number.

1813228560 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 1813228560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3606355116).

1813228560 is an abundant number, since it is smaller than the sum of its proper divisors (5399481672).

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

1813228560 is a wasteful number, since it uses less digits than its factorization.

1813228560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1813228560 is about 42582.0215583995. The cubic root of 1813228560 is about 1219.4130832745.

The spelling of 1813228560 in words is "one billion, eight hundred thirteen million, two hundred twenty-eight thousand, five hundred sixty".