1868893440 has 288 divisors, whose sum is σ = 6207546240. Its totient is φ = 478937088.

The previous prime is 1868893427. The next prime is 1868893457. The reversal of 1868893440 is 443988681.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16538824 + ... + 16538936.

It is an arithmetic number, because the mean of its divisors is an integer number (21553980).

Almost surely, 2^1868893440 is an apocalyptic number.

1868893440 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 1868893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3103773120).

1868893440 is an abundant number, since it is smaller than the sum of its proper divisors (4338652800).

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

1868893440 is a wasteful number, since it uses less digits than its factorization.

1868893440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The square root of 1868893440 is about 43230.7002025181. The cubic root of 1868893440 is about 1231.7659081852.

The spelling of 1868893440 in words is "one billion, eight hundred sixty-eight million, eight hundred ninety-three thousand, four hundred forty".