966189840 has 480 divisors, whose sum is σ = 3878918400. Its totient is φ = 198696960.

The previous prime is 966189827. The next prime is 966189853. The reversal of 966189840 is 48981669.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (966189827) and next prime (966189853).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9960672 + ... + 9960768.

It is an arithmetic number, because the mean of its divisors is an integer number (8081080).

Almost surely, 2^966189840 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 966189840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939459200).

966189840 is an abundant number, since it is smaller than the sum of its proper divisors (2912728560).

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

966189840 is a wasteful number, since it uses less digits than its factorization.

966189840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 966189840 is about 31083.5943867501. The cubic root of 966189840 is about 988.6004916604.

The spelling of 966189840 in words is "nine hundred sixty-six million, one hundred eighty-nine thousand, eight hundred forty".