965647980 has 240 divisors, whose sum is σ = 3333141504. Its totient is φ = 233046720.

The previous prime is 965647973. The next prime is 965647987. The reversal of 965647980 is 89746569.

965647980 is a `hidden beast` number, since 9 + 6 + 564 + 79 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (965647973) and next prime (965647987).

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

It is not an unprimeable number, because it can be changed into a prime (965647987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4330149 + ... + 4330371.

Almost surely, 2^965647980 is an apocalyptic number.

965647980 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 965647980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666570752).

965647980 is an abundant number, since it is smaller than the sum of its proper divisors (2367493524).

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

965647980 is a wasteful number, since it uses less digits than its factorization.

965647980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 965647980 is about 31074.8769909070. The cubic root of 965647980 is about 988.4156476431.

The spelling of 965647980 in words is "nine hundred sixty-five million, six hundred forty-seven thousand, nine hundred eighty".