1868397120 has 168 divisors, whose sum is σ = 6442505784. Its totient is φ = 497000448.

The previous prime is 1868397119. The next prime is 1868397127. The reversal of 1868397120 is 217938681.

It can be written as a sum of positive squares in 4 ways, for example, as 660695616 + 1207701504 = 25704^2 + 34752^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1868397127) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2179732 + ... + 2180588.

Almost surely, 2^1868397120 is an apocalyptic number.

1868397120 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 1868397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221252892).

1868397120 is an abundant number, since it is smaller than the sum of its proper divisors (4574108664).

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

1868397120 is a wasteful number, since it uses less digits than its factorization.

1868397120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1868397120 is about 43224.9594563141. The cubic root of 1868397120 is about 1231.6568589533.

The spelling of 1868397120 in words is "one billion, eight hundred sixty-eight million, three hundred ninety-seven thousand, one hundred twenty".