1961876160 has 672 divisors, whose sum is σ = 7943209920. Its totient is φ = 453869568.

The previous prime is 1961876159. The next prime is 1961876171. The reversal of 1961876160 is 616781691.

1961876160 is a `hidden beast` number, since 19 + 6 + 18 + 7 + 616 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53023662 + ... + 53023698.

Almost surely, 2^1961876160 is an apocalyptic number.

1961876160 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 1961876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3971604960).

1961876160 is an abundant number, since it is smaller than the sum of its proper divisors (5981333760).

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

1961876160 is a wasteful number, since it uses less digits than its factorization.

1961876160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 1961876160 is about 44293.0712414481. The cubic root of 1961876160 is about 1251.8641327586.

The spelling of 1961876160 in words is "one billion, nine hundred sixty-one million, eight hundred seventy-six thousand, one hundred sixty".