1961806680 has 96 divisors (see below), whose sum is σ = 6465756960. Its totient is φ = 515773440.

The previous prime is 1961806661. The next prime is 1961806687. The reversal of 1961806680 is 866081691.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1961806687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12817 + ... + 63936.

It is an arithmetic number, because the mean of its divisors is an integer number (67351635).

Almost surely, 2^1961806680 is an apocalyptic number.

1961806680 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 1961806680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3232878480).

1961806680 is an abundant number, since it is smaller than the sum of its proper divisors (4503950280).

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

1961806680 is a wasteful number, since it uses less digits than its factorization.

1961806680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76841 (or 76834 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1961806680 is about 44292.2869131861. The cubic root of 1961806680 is about 1251.8493542950.

The spelling of 1961806680 in words is "one billion, nine hundred sixty-one million, eight hundred six thousand, six hundred eighty".