1819518960 has 480 divisors, whose sum is σ = 7092403200. Its totient is φ = 384975360.

The previous prime is 1819518923. The next prime is 1819518977. The reversal of 1819518960 is 698159181.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58694145 + ... + 58694175.

It is an arithmetic number, because the mean of its divisors is an integer number (14775840).

Almost surely, 2^1819518960 is an apocalyptic number.

1819518960 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 1819518960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3546201600).

1819518960 is an abundant number, since it is smaller than the sum of its proper divisors (5272884240).

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

1819518960 is a wasteful number, since it uses less digits than its factorization.

1819518960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 48.

The square root of 1819518960 is about 42655.8197670611. The cubic root of 1819518960 is about 1220.8215732798.

The spelling of 1819518960 in words is "one billion, eight hundred nineteen million, five hundred eighteen thousand, nine hundred sixty".