1865968104 has 384 divisors, whose sum is σ = 6606673920. Its totient is φ = 426539520.

The previous prime is 1865968063. The next prime is 1865968121. The reversal of 1865968104 is 4018695681.

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 95 ways as a sum of consecutive naturals, for example, 6077919 + ... + 6078225.

It is an arithmetic number, because the mean of its divisors is an integer number (17204880).

Almost surely, 2^1865968104 is an apocalyptic number.

1865968104 is a gapful number since it is divisible by the number (14) 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 1865968104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3303336960).

1865968104 is an abundant number, since it is smaller than the sum of its proper divisors (4740705816).

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

1865968104 is a wasteful number, since it uses less digits than its factorization.

1865968104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The square root of 1865968104 is about 43196.8529409261. The cubic root of 1865968104 is about 1231.1228875999.

It can be divided in two parts, 1865 and 968104, that added together give a palindrome (969969).

The spelling of 1865968104 in words is "one billion, eight hundred sixty-five million, nine hundred sixty-eight thousand, one hundred four".