966998760 has 256 divisors, whose sum is σ = 3781209600. Its totient is φ = 191987712.

The previous prime is 966998759. The next prime is 966998761. The reversal of 966998760 is 67899669.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (966998759) and next prime (966998761).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 966998694 and 966998703.

It is not an unprimeable number, because it can be changed into a prime (966998761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 183036 + ... + 188244.

It is an arithmetic number, because the mean of its divisors is an integer number (14770350).

Almost surely, 2^966998760 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 966998760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890604800).

966998760 is an abundant number, since it is smaller than the sum of its proper divisors (2814210840).

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

966998760 is a wasteful number, since it uses less digits than its factorization.

966998760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5260 (or 5256 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 60.

The square root of 966998760 is about 31096.6036730702. The cubic root of 966998760 is about 988.8763089667.

The spelling of 966998760 in words is "nine hundred sixty-six million, nine hundred ninety-eight thousand, seven hundred sixty".