966919842 has 144 divisors (see below), whose sum is σ = 2661553440. Its totient is φ = 261600192.

The previous prime is 966919831. The next prime is 966919847. The reversal of 966919842 is 248919669.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

Its product of digits (1679616) is a multiple of the sum of its prime factors (2187).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966919847) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 451398 + ... + 453534.

It is an arithmetic number, because the mean of its divisors is an integer number (18483010).

Almost surely, 2^966919842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966919842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330776720).

966919842 is an abundant number, since it is smaller than the sum of its proper divisors (1694633598).

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

966919842 is a wasteful number, since it uses less digits than its factorization.

966919842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187 (or 2168 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 966919842 is about 31095.3347304704. The cubic root of 966919842 is about 988.8494070833.

The spelling of 966919842 in words is "nine hundred sixty-six million, nine hundred nineteen thousand, eight hundred forty-two".