1984713948 has 96 divisors (see below), whose sum is σ = 6083481600. Its totient is φ = 547501248.

The previous prime is 1984713947. The next prime is 1984713971. The reversal of 1984713948 is 8493174891.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 1984713894 and 1984713903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1984713947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23340 + ... + 67187.

It is an arithmetic number, because the mean of its divisors is an integer number (63369600).

Almost surely, 2^1984713948 is an apocalyptic number.

1984713948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1984713948 is an abundant number, since it is smaller than the sum of its proper divisors (4098767652).

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

1984713948 is a wasteful number, since it uses less digits than its factorization.

1984713948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90576 (or 90568 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 1984713948 is about 44550.1284846632. The cubic root of 1984713948 is about 1256.7029675066.

The spelling of 1984713948 in words is "one billion, nine hundred eighty-four million, seven hundred thirteen thousand, nine hundred forty-eight".