1984601952 has 96 divisors (see below), whose sum is σ = 5797532160. Its totient is φ = 660493440.

The previous prime is 1984601933. The next prime is 1984601953. The reversal of 1984601952 is 2591064891.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1984601898 and 1984601907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1984601953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 709677 + ... + 712467.

It is an arithmetic number, because the mean of its divisors is an integer number (60390960).

Almost surely, 2^1984601952 is an apocalyptic number.

1984601952 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 1984601952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2898766080).

1984601952 is an abundant number, since it is smaller than the sum of its proper divisors (3812930208).

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

1984601952 is a wasteful number, since it uses less digits than its factorization.

1984601952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633 (or 3619 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 1984601952 is about 44548.8715008585. The cubic root of 1984601952 is about 1256.6793287763.

The spelling of 1984601952 in words is "one billion, nine hundred eighty-four million, six hundred one thousand, nine hundred fifty-two".