1996123584 has 336 divisors, whose sum is σ = 6972604800. Its totient is φ = 498161664.

The previous prime is 1996123559. The next prime is 1996123589. The reversal of 1996123584 is 4853216991.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1996123589) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2323347 + ... + 2324205.

It is an arithmetic number, because the mean of its divisors is an integer number (20751800).

Almost surely, 2^1996123584 is an apocalyptic number.

1996123584 is a gapful number since it is divisible by the number (14) 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 1996123584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3486302400).

1996123584 is an abundant number, since it is smaller than the sum of its proper divisors (4976481216).

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

1996123584 is a wasteful number, since it uses less digits than its factorization.

1996123584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 903 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The square root of 1996123584 is about 44677.9988808810. The cubic root of 1996123584 is about 1259.1065270770.

The spelling of 1996123584 in words is "one billion, nine hundred ninety-six million, one hundred twenty-three thousand, five hundred eighty-four".