966231000 has 384 divisors, whose sum is σ = 3820752000. Its totient is φ = 220147200.

The previous prime is 966230999. The next prime is 966231001. The reversal of 966231000 is 132669.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (966230999) and next prime (966231001).

It is a super-2 number, since 2×966231000² = 1867204690722000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966231001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3086844 + ... + 3087156.

It is an arithmetic number, because the mean of its divisors is an integer number (9949875).

Almost surely, 2^966231000 is an apocalyptic number.

966231000 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 966231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910376000).

966231000 is an abundant number, since it is smaller than the sum of its proper divisors (2854521000).

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

966231000 is a wasteful number, since it uses less digits than its factorization.

966231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 966231000 is about 31084.2564652912. The cubic root of 966231000 is about 988.6145296947.

Adding to 966231000 its reverse (132669), we get a palindrome (966363669).

The spelling of 966231000 in words is "nine hundred sixty-six million, two hundred thirty-one thousand".