1872465984 has 105 divisors (see below), whose sum is σ = 5559826701. Its totient is φ = 623116800.

The previous prime is 1872465977. The next prime is 1872466027. The reversal of 1872465984 is 4895642781.

It is a happy number.

The square root of 1872465984 is 43272.

It is a perfect power (a square), and thus also a powerful number.

1872465984 is a `hidden beast` number, since 1 + 8 + 7 + 2 + 46 + 598 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1573867584 + 298598400 = 39672^2 + 17280^2 .

It is a super-2 number, since 2×1872465984² = 7012257722474176512, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1872465984.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3115284 + ... + 3115884.

Almost surely, 2^1872465984 is an apocalyptic number.

1872465984 is the 43272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1872465984

1872465984 is an abundant number, since it is smaller than the sum of its proper divisors (3687360717).

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

1872465984 is an frugal number, since it uses more digits than its factorization.

1872465984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 606 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The cubic root of 1872465984 is about 1232.5502826511.

It can be divided in two parts, 1872 and 465984, that added together give a square (467856 = 684²).

The spelling of 1872465984 in words is "one billion, eight hundred seventy-two million, four hundred sixty-five thousand, nine hundred eighty-four".