1996088640 has 448 divisors, whose sum is σ = 7932212736. Its totient is φ = 414056448.

The previous prime is 1996088621. The next prime is 1996088641. The reversal of 1996088640 is 468806991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1996088641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6377124 + ... + 6377436.

It is an arithmetic number, because the mean of its divisors is an integer number (17705832).

Almost surely, 2^1996088640 is an apocalyptic number.

1996088640 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 1996088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3966106368).

1996088640 is an abundant number, since it is smaller than the sum of its proper divisors (5936124096).

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

1996088640 is a wasteful number, since it uses less digits than its factorization.

1996088640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 1996088640 is about 44677.6078142060. The cubic root of 1996088640 is about 1259.0991797572.

The spelling of 1996088640 in words is "one billion, nine hundred ninety-six million, eighty-eight thousand, six hundred forty".