1866004560 has 320 divisors, whose sum is σ = 7399526400. Its totient is φ = 423387648.

The previous prime is 1866004537. The next prime is 1866004561. The reversal of 1866004560 is 654006681.

1866004560 is a `hidden beast` number, since 1 + 8 + 6 + 600 + 45 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1866004561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2524671 + ... + 2525409.

It is an arithmetic number, because the mean of its divisors is an integer number (23123520).

Almost surely, 2^1866004560 is an apocalyptic number.

1866004560 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 1866004560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3699763200).

1866004560 is an abundant number, since it is smaller than the sum of its proper divisors (5533521840).

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

1866004560 is a wasteful number, since it uses less digits than its factorization.

1866004560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1866004560 is about 43197.2749140498. The cubic root of 1866004560 is about 1231.1309051581.

The spelling of 1866004560 in words is "one billion, eight hundred sixty-six million, four thousand, five hundred sixty".