1618728960 has 384 divisors, whose sum is σ = 5660928000. Its totient is φ = 393609216.

The previous prime is 1618728941. The next prime is 1618729003. The reversal of 1618728960 is 698278161.

It is a tau number, because it is divible by the number of its divisors (384).

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 31 ways as a sum of consecutive naturals, for example, 20490201 + ... + 20490279.

It is an arithmetic number, because the mean of its divisors is an integer number (14742000).

Almost surely, 2^1618728960 is an apocalyptic number.

1618728960 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 1618728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830464000).

1618728960 is an abundant number, since it is smaller than the sum of its proper divisors (4042199040).

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

1618728960 is a wasteful number, since it uses less digits than its factorization.

1618728960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The square root of 1618728960 is about 40233.4308753305. The cubic root of 1618728960 is about 1174.1530543692.

The spelling of 1618728960 in words is "one billion, six hundred eighteen million, seven hundred twenty-eight thousand, nine hundred sixty".