966180096 has 288 divisors, whose sum is σ = 3440460800. Its totient is φ = 261273600.

The previous prime is 966180079. The next prime is 966180107. The reversal of 966180096 is 690081669.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 918771 + ... + 919821.

Almost surely, 2^966180096 is an apocalyptic number.

966180096 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 966180096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720230400).

966180096 is an abundant number, since it is smaller than the sum of its proper divisors (2474280704).

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

966180096 is a wasteful number, since it uses less digits than its factorization.

966180096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 966180096 is about 31083.4376477249. The cubic root of 966180096 is about 988.5971683123.

The spelling of 966180096 in words is "nine hundred sixty-six million, one hundred eighty thousand, ninety-six".