1864241568 has 288 divisors, whose sum is σ = 6505349760. Its totient is φ = 513838080.

The previous prime is 1864241549. The next prime is 1864241581. The reversal of 1864241568 is 8651424681.

It is a happy number.

1864241568 is a `hidden beast` number, since 1 + 8 + 6 + 42 + 41 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1577938 + ... + 1579118.

It is an arithmetic number, because the mean of its divisors is an integer number (22588020).

Almost surely, 2^1864241568 is an apocalyptic number.

1864241568 is a gapful number since it is divisible by the number (18) 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 1864241568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3252674880).

1864241568 is an abundant number, since it is smaller than the sum of its proper divisors (4641108192).

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

1864241568 is a wasteful number, since it uses less digits than its factorization.

1864241568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1222 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 1864241568 is about 43176.8638045887. The cubic root of 1864241568 is about 1230.7430608314.

The spelling of 1864241568 in words is "one billion, eight hundred sixty-four million, two hundred forty-one thousand, five hundred sixty-eight".