1863921840 has 160 divisors (see below), whose sum is σ = 6577721856. Its totient is φ = 432199680.

The previous prime is 1863921827. The next prime is 1863921859. The reversal of 1863921840 is 481293681.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1863921792 and 1863921801.

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, 45372 + ... + 76068.

Almost surely, 2^1863921840 is an apocalyptic number.

1863921840 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 1863921840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288860928).

1863921840 is an abundant number, since it is smaller than the sum of its proper divisors (4713800016).

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

1863921840 is a wasteful number, since it uses less digits than its factorization.

1863921840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30747 (or 30741 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 1863921840 is about 43173.1611073361. The cubic root of 1863921840 is about 1230.6726970040.

The spelling of 1863921840 in words is "one billion, eight hundred sixty-three million, nine hundred twenty-one thousand, eight hundred forty".