1996738560 has 416 divisors, whose sum is σ = 7454465280. Its totient is φ = 506068992.

The previous prime is 1996738547. The next prime is 1996738561. The reversal of 1996738560 is 658376991.

1996738560 is a `hidden beast` number, since 1 + 9 + 9 + 6 + 73 + 8 + 560 = 666.

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 = 1996738497 and 1996738506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1996738561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12718002 + ... + 12718158.

Almost surely, 2^1996738560 is an apocalyptic number.

1996738560 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 1996738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3727232640).

1996738560 is an abundant number, since it is smaller than the sum of its proper divisors (5457726720).

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

1996738560 is a wasteful number, since it uses less digits than its factorization.

1996738560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 1996738560 is about 44684.8806644932. The cubic root of 1996738560 is about 1259.2358178011.

The spelling of 1996738560 in words is "one billion, nine hundred ninety-six million, seven hundred thirty-eight thousand, five hundred sixty".