1960304640 has 448 divisors, whose sum is σ = 7473793536. Its totient is φ = 429391872.

The previous prime is 1960304639. The next prime is 1960304713. The reversal of 1960304640 is 464030691.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36986854 + ... + 36986906.

Almost surely, 2^1960304640 is an apocalyptic number.

1960304640 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 1960304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3736896768).

1960304640 is an abundant number, since it is smaller than the sum of its proper divisors (5513488896).

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

1960304640 is an equidigital number, since it uses as much as digits as its factorization.

1960304640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 1960304640 is about 44275.3276667717. The cubic root of 1960304640 is about 1251.5297835793.

The spelling of 1960304640 in words is "one billion, nine hundred sixty million, three hundred four thousand, six hundred forty".