1984637952 has 132 divisors (see below), whose sum is σ = 6251881896. Its totient is φ = 601374720.

The previous prime is 1984637927. The next prime is 1984637971. The reversal of 1984637952 is 2597364891.

1984637952 is a `hidden beast` number, since 1 + 98 + 463 + 7 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (132).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91588 + ... + 111164.

Almost surely, 2^1984637952 is an apocalyptic number.

1984637952 is a gapful number since it is divisible by the number (12) 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 1984637952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125940948).

1984637952 is an abundant number, since it is smaller than the sum of its proper divisors (4267243944).

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

1984637952 is a wasteful number, since it uses less digits than its factorization.

1984637952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19614 (or 19593 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 1984637952 is about 44549.2755496652. The cubic root of 1984637952 is about 1256.6869273079.

It can be divided in two parts, 1984 and 637952, that added together give a palindrome (639936).

The spelling of 1984637952 in words is "one billion, nine hundred eighty-four million, six hundred thirty-seven thousand, nine hundred fifty-two".