1961679870 has 80 divisors (see below), whose sum is σ = 5305608000. Its totient is φ = 520053696.

The previous prime is 1961679869. The next prime is 1961679877. The reversal of 1961679870 is 789761691.

1961679870 is a `hidden beast` number, since 19 + 616 + 7 + 9 + 8 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1961679877) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 133131 + ... + 147129.

It is an arithmetic number, because the mean of its divisors is an integer number (66320100).

Almost surely, 2^1961679870 is an apocalyptic number.

1961679870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1961679870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2652804000).

1961679870 is an abundant number, since it is smaller than the sum of its proper divisors (3343928130).

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

1961679870 is a wasteful number, since it uses less digits than its factorization.

1961679870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14191 (or 14182 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The square root of 1961679870 is about 44290.8553767028. The cubic root of 1961679870 is about 1251.8223807848.

The spelling of 1961679870 in words is "one billion, nine hundred sixty-one million, six hundred seventy-nine thousand, eight hundred seventy".