1960826880 has 384 divisors, whose sum is σ = 6793113600. Its totient is φ = 481689600.

The previous prime is 1960826873. The next prime is 1960826897. The reversal of 1960826880 is 886280691.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 27617245 + ... + 27617315.

It is an arithmetic number, because the mean of its divisors is an integer number (17690400).

Almost surely, 2^1960826880 is an apocalyptic number.

1960826880 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 1960826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396556800).

1960826880 is an abundant number, since it is smaller than the sum of its proper divisors (4832286720).

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

1960826880 is a wasteful number, since it uses less digits than its factorization.

1960826880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 1960826880 is about 44281.2249153069. The cubic root of 1960826880 is about 1251.6409127151.

The spelling of 1960826880 in words is "one billion, nine hundred sixty million, eight hundred twenty-six thousand, eight hundred eighty".