966990960 has 300 divisors, whose sum is σ = 3640840632. Its totient is φ = 237758976.

The previous prime is 966990953. The next prime is 966990979. The reversal of 966990960 is 69099669.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 966990897 and 966990906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1094679 + ... + 1095561.

Almost surely, 2^966990960 is an apocalyptic number.

966990960 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 966990960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820420316).

966990960 is an abundant number, since it is smaller than the sum of its proper divisors (2673849672).

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

966990960 is a wasteful number, since it uses less digits than its factorization.

966990960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 1417176, while the sum is 54.

The square root of 966990960 is about 31096.4782571918. The cubic root of 966990960 is about 988.8736501367.

The spelling of 966990960 in words is "nine hundred sixty-six million, nine hundred ninety thousand, nine hundred sixty".