966250656 has 144 divisors (see below), whose sum is σ = 3241824768. Its totient is φ = 267148800.

The previous prime is 966250651. The next prime is 966250667. The reversal of 966250656 is 656052669.

966250656 is a `hidden beast` number, since 96 + 6 + 2 + 506 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (966250651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54766 + ... + 70226.

It is an arithmetic number, because the mean of its divisors is an integer number (22512672).

Almost surely, 2^966250656 is an apocalyptic number.

966250656 is a gapful number since it is divisible by the number (96) 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 966250656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620912384).

966250656 is an abundant number, since it is smaller than the sum of its proper divisors (2275574112).

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

966250656 is a wasteful number, since it uses less digits than its factorization.

966250656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15515 (or 15504 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 966250656 is about 31084.5726365990. The cubic root of 966250656 is about 988.6212334317.

The spelling of 966250656 in words is "nine hundred sixty-six million, two hundred fifty thousand, six hundred fifty-six".