1866648960 has 384 divisors, whose sum is σ = 7449680160. Its totient is φ = 425656320.

The previous prime is 1866648941. The next prime is 1866648967. The reversal of 1866648960 is 698466681.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×1866648960³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1866648897 and 1866648906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1866648967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1076254 + ... + 1077986.

Almost surely, 2^1866648960 is an apocalyptic number.

1866648960 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 1866648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3724840080).

1866648960 is an abundant number, since it is smaller than the sum of its proper divisors (5583031200).

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

1866648960 is a wasteful number, since it uses less digits than its factorization.

1866648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 1866648960 is about 43204.7330740510. The cubic root of 1866648960 is about 1231.2726071072.

The spelling of 1866648960 in words is "one billion, eight hundred sixty-six million, six hundred forty-eight thousand, nine hundred sixty".