1809859968 has 192 divisors, whose sum is σ = 6012614400. Its totient is φ = 511847424.

The previous prime is 1809859963. The next prime is 1809859969. The reversal of 1809859968 is 8699589081.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1809859968² = 6551186207537922048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1809859963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 829503 + ... + 831681.

It is an arithmetic number, because the mean of its divisors is an integer number (31315700).

Almost surely, 2^1809859968 is an apocalyptic number.

1809859968 is a gapful number since it is divisible by the number (18) 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 1809859968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006307200).

1809859968 is an abundant number, since it is smaller than the sum of its proper divisors (4202754432).

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

1809859968 is a wasteful number, since it uses less digits than its factorization.

1809859968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 63.

The square root of 1809859968 is about 42542.4490127214. The cubic root of 1809859968 is about 1218.6574786727.

The spelling of 1809859968 in words is "one billion, eight hundred nine million, eight hundred fifty-nine thousand, nine hundred sixty-eight".