1865496960 has 256 divisors, whose sum is σ = 6686712000. Its totient is φ = 491470848.

The previous prime is 1865496947. The next prime is 1865496973. The reversal of 1865496960 is 696945681.

It is a happy number.

1865496960 is a `hidden beast` number, since 1 + 8 + 6 + 549 + 6 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1865496947) and next prime (1865496973).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1865496897 and 1865496906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1537314 + ... + 1538526.

Almost surely, 2^1865496960 is an apocalyptic number.

1865496960 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 1865496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3343356000).

1865496960 is an abundant number, since it is smaller than the sum of its proper divisors (4821215040).

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

1865496960 is a wasteful number, since it uses less digits than its factorization.

1865496960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 1865496960 is about 43191.3991438110. The cubic root of 1865496960 is about 1231.0192622154.

The spelling of 1865496960 in words is "one billion, eight hundred sixty-five million, four hundred ninety-six thousand, nine hundred sixty".