1368501840 has 180 divisors, whose sum is σ = 4805731476. Its totient is φ = 348969984.

The previous prime is 1368501803. The next prime is 1368501857. The reversal of 1368501840 is 481058631.

1368501840 is a `hidden beast` number, since 13 + 68 + 501 + 84 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 463454784 + 905047056 = 21528^2 + 30084^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 = 1368501795 and 1368501804.

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 35 ways as a sum of consecutive naturals, for example, 379084 + ... + 382676.

Almost surely, 2^1368501840 is an apocalyptic number.

1368501840 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 1368501840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2402865738).

1368501840 is an abundant number, since it is smaller than the sum of its proper divisors (3437229636).

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

1368501840 is a wasteful number, since it uses less digits than its factorization.

1368501840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3658 (or 3626 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1368501840 is about 36993.2674955863. The cubic root of 1368501840 is about 1110.2355477719.

The spelling of 1368501840 in words is "one billion, three hundred sixty-eight million, five hundred one thousand, eight hundred forty".