1920913680 has 240 divisors, whose sum is σ = 7292479680. Its totient is φ = 415908864.

The previous prime is 1920913663. The next prime is 1920913693. The reversal of 1920913680 is 863190291.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1920913680² = 7379818732022284800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219142 + ... + 227738.

It is an arithmetic number, because the mean of its divisors is an integer number (30385332).

Almost surely, 2^1920913680 is an apocalyptic number.

1920913680 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 1920913680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646239840).

1920913680 is an abundant number, since it is smaller than the sum of its proper divisors (5371566000).

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

1920913680 is a wasteful number, since it uses less digits than its factorization.

1920913680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8646 (or 8633 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 1920913680 is about 43828.2292592343. The cubic root of 1920913680 is about 1243.0901250188.

The spelling of 1920913680 in words is "one billion, nine hundred twenty million, nine hundred thirteen thousand, six hundred eighty".