1996753920 has 352 divisors, whose sum is σ = 7467456000. Its totient is φ = 455196672.

The previous prime is 1996753873. The next prime is 1996753939. The reversal of 1996753920 is 293576991.

It is a happy number.

It is a super-3 number, since 3×1996753920³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5268291 + ... + 5268669.

Almost surely, 2^1996753920 is an apocalyptic number.

1996753920 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 1996753920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3733728000).

1996753920 is an abundant number, since it is smaller than the sum of its proper divisors (5470702080).

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

1996753920 is an equidigital number, since it uses as much as digits as its factorization.

1996753920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 51.

The square root of 1996753920 is about 44685.0525343766. The cubic root of 1996753920 is about 1259.2390467019.

The spelling of 1996753920 in words is "one billion, nine hundred ninety-six million, seven hundred fifty-three thousand, nine hundred twenty".