966557088 has 144 divisors (see below), whose sum is σ = 3177195840. Its totient is φ = 273005568.

The previous prime is 966557071. The next prime is 966557143. The reversal of 966557088 is 880755669.

966557088 is a `hidden beast` number, since 9 + 6 + 6 + 557 + 0 + 88 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176731 + ... + 182117.

It is an arithmetic number, because the mean of its divisors is an integer number (22063860).

Almost surely, 2^966557088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966557088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588597920).

966557088 is an abundant number, since it is smaller than the sum of its proper divisors (2210638752).

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

966557088 is a wasteful number, since it uses less digits than its factorization.

966557088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5499 (or 5488 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The square root of 966557088 is about 31089.5012504221. The cubic root of 966557088 is about 988.7257312176.

The spelling of 966557088 in words is "nine hundred sixty-six million, five hundred fifty-seven thousand, eighty-eight".