1870984960 has 144 divisors (see below), whose sum is σ = 4857279840. Its totient is φ = 686407680.

The previous prime is 1870984937. The next prime is 1870984981. The reversal of 1870984960 is 694890781.

It is a happy number.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 1870984898 and 1870984907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3810315 + ... + 3810805.

It is an arithmetic number, because the mean of its divisors is an integer number (33731110).

Almost surely, 2^1870984960 is an apocalyptic number.

1870984960 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 1870984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2428639920).

1870984960 is an abundant number, since it is smaller than the sum of its proper divisors (2986294880).

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

1870984960 is a wasteful number, since it uses less digits than its factorization.

1870984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 52.

The square root of 1870984960 is about 43254.8836549123. The cubic root of 1870984960 is about 1232.2252357072.

The spelling of 1870984960 in words is "one billion, eight hundred seventy million, nine hundred eighty-four thousand, nine hundred sixty".