965861820 has 576 divisors, whose sum is σ = 3962649600. Its totient is φ = 191600640.

The previous prime is 965861807. The next prime is 965861863. The reversal of 965861820 is 28168569.

965861820 is a `hidden beast` number, since 9 + 6 + 5 + 8 + 618 + 20 = 666.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1335 × 609 × 1188.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10852336 + ... + 10852424.

It is an arithmetic number, because the mean of its divisors is an integer number (6879600).

Almost surely, 2^965861820 is an apocalyptic number.

965861820 is a gapful number since it is divisible by the number (90) 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 965861820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981324800).

965861820 is an abundant number, since it is smaller than the sum of its proper divisors (2996787780).

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

965861820 is a wasteful number, since it uses less digits than its factorization.

965861820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 965861820 is about 31078.3175220281. The cubic root of 965861820 is about 988.4886028699.

The spelling of 965861820 in words is "nine hundred sixty-five million, eight hundred sixty-one thousand, eight hundred twenty".