1868093760 has 224 divisors, whose sum is σ = 6430499712. Its totient is φ = 456744960.

The previous prime is 1868093729. The next prime is 1868093771. The reversal of 1868093760 is 673908681.

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, 2258467 + ... + 2259293.

It is an arithmetic number, because the mean of its divisors is an integer number (28707588).

Almost surely, 2^1868093760 is an apocalyptic number.

1868093760 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 1868093760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3215249856).

1868093760 is an abundant number, since it is smaller than the sum of its proper divisors (4562405952).

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

1868093760 is a wasteful number, since it uses less digits than its factorization.

1868093760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 1868093760 is about 43221.4502301808. The cubic root of 1868093760 is about 1231.5901965284.

The spelling of 1868093760 in words is "one billion, eight hundred sixty-eight million, ninety-three thousand, seven hundred sixty".