1918638360 has 256 divisors, whose sum is σ = 6992179200. Its totient is φ = 465868800.

The previous prime is 1918638353. The next prime is 1918638361. The reversal of 1918638360 is 638368191.

It is a happy number.

1918638360 is a `hidden beast` number, since 1 + 9 + 1 + 8 + 638 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1918638361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 567475 + ... + 570845.

It is an arithmetic number, because the mean of its divisors is an integer number (27313200).

Almost surely, 2^1918638360 is an apocalyptic number.

1918638360 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 1918638360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3496089600).

1918638360 is an abundant number, since it is smaller than the sum of its proper divisors (5073540840).

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

1918638360 is a wasteful number, since it uses less digits than its factorization.

1918638360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439 (or 3429 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1918638360 is about 43802.2643250323. The cubic root of 1918638360 is about 1242.5991181705.

The spelling of 1918638360 in words is "one billion, nine hundred eighteen million, six hundred thirty-eight thousand, three hundred sixty".