1618868160 has 896 divisors, whose sum is σ = 7373721600. Its totient is φ = 325140480.

The previous prime is 1618868123. The next prime is 1618868177. The reversal of 1618868160 is 618688161.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22800925 + ... + 22800995.

It is an arithmetic number, because the mean of its divisors is an integer number (8229600).

Almost surely, 2^1618868160 is an apocalyptic number.

1618868160 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 1618868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686860800).

1618868160 is an abundant number, since it is smaller than the sum of its proper divisors (5754853440).

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

1618868160 is a wasteful number, since it uses less digits than its factorization.

1618868160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 1618868160 is about 40235.1607428130. The cubic root of 1618868160 is about 1174.1867098739.

It can be divided in two parts, 16188 and 68160, that added together give a palindrome (84348).

The spelling of 1618868160 in words is "one billion, six hundred eighteen million, eight hundred sixty-eight thousand, one hundred sixty".