1996106880 has 256 divisors, whose sum is σ = 6591974400. Its totient is φ = 513503232.

The previous prime is 1996106857. The next prime is 1996106881. The reversal of 1996106880 is 886016991.

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 not an unprimeable number, because it can be changed into a prime (1996106881) 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, 7589629 + ... + 7589891.

It is an arithmetic number, because the mean of its divisors is an integer number (25749900).

Almost surely, 2^1996106880 is an apocalyptic number.

1996106880 is a gapful number since it is divisible by the number (10) 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 1996106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3295987200).

1996106880 is an abundant number, since it is smaller than the sum of its proper divisors (4595867520).

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

1996106880 is a wasteful number, since it uses less digits than its factorization.

1996106880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 1996106880 is about 44677.8119428425. The cubic root of 1996106880 is about 1259.1030149074.

The spelling of 1996106880 in words is "one billion, nine hundred ninety-six million, one hundred six thousand, eight hundred eighty".