966850560 has 384 divisors, whose sum is σ = 3714984000. Its totient is φ = 237109248.

The previous prime is 966850559. The next prime is 966850567. The reversal of 966850560 is 65058669.

966850560 is a `hidden beast` number, since 9 + 6 + 6 + 85 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (966850567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3594106 + ... + 3594374.

Almost surely, 2^966850560 is an apocalyptic number.

966850560 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 966850560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857492000).

966850560 is an abundant number, since it is smaller than the sum of its proper divisors (2748133440).

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

966850560 is a wasteful number, since it uses less digits than its factorization.

966850560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 966850560 is about 31094.2206848797. The cubic root of 966850560 is about 988.8257887515.

The spelling of 966850560 in words is "nine hundred sixty-six million, eight hundred fifty thousand, five hundred sixty".