1961039080 has 512 divisors, whose sum is σ = 6514421760. Its totient is φ = 510935040.

The previous prime is 1961039071. The next prime is 1961039081. The reversal of 1961039080 is 809301691.

It is not an unprimeable number, because it can be changed into a prime (1961039081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29269207 + ... + 29269273.

It is an arithmetic number, because the mean of its divisors is an integer number (12723480).

Almost surely, 2^1961039080 is an apocalyptic number.

1961039080 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 1961039080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257210880).

1961039080 is an abundant number, since it is smaller than the sum of its proper divisors (4553382680).

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

1961039080 is a wasteful number, since it uses less digits than its factorization.

1961039080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 37.

The square root of 1961039080 is about 44283.6208998316. The cubic root of 1961039080 is about 1251.6860618006.

The spelling of 1961039080 in words is "one billion, nine hundred sixty-one million, thirty-nine thousand, eighty".