1961072880 has 160 divisors (see below), whose sum is σ = 6569371200. Its totient is φ = 481075200.

The previous prime is 1961072849. The next prime is 1961072923. The reversal of 1961072880 is 882701691.

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, 1087980 + ... + 1089780.

It is an arithmetic number, because the mean of its divisors is an integer number (41058570).

Almost surely, 2^1961072880 is an apocalyptic number.

1961072880 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 1961072880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3284685600).

1961072880 is an abundant number, since it is smaller than the sum of its proper divisors (4608298320).

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

1961072880 is a wasteful number, since it uses less digits than its factorization.

1961072880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The square root of 1961072880 is about 44284.0025291301. The cubic root of 1961072880 is about 1251.6932530130.

The spelling of 1961072880 in words is "one billion, nine hundred sixty-one million, seventy-two thousand, eight hundred eighty".