1868106240 has 1120 divisors, whose sum is σ = 9016672896. Its totient is φ = 358318080.

The previous prime is 1868106223. The next prime is 1868106241. The reversal of 1868106240 is 426018681.

1868106240 is a `hidden beast` number, since 18 + 6 + 8 + 10 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1868106195 and 1868106204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1868106241) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 143700474 + ... + 143700486.

Almost surely, 2^1868106240 is an apocalyptic number.

1868106240 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 1868106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508336448).

1868106240 is an abundant number, since it is smaller than the sum of its proper divisors (7148566656).

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

1868106240 is an equidigital number, since it uses as much as digits as its factorization.

1868106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1868106240 is about 43221.5946026983. The cubic root of 1868106240 is about 1231.5929391123.

The spelling of 1868106240 in words is "one billion, eight hundred sixty-eight million, one hundred six thousand, two hundred forty".