966894240 has 192 divisors, whose sum is σ = 3423119616. Its totient is φ = 227622912.

The previous prime is 966894239. The next prime is 966894241. The reversal of 966894240 is 42498669.

It is an interprime number because it is at equal distance from previous prime (966894239) and next prime (966894241).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 966894240.

It is not an unprimeable number, because it can be changed into a prime (966894241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140152 + ... + 146888.

It is an arithmetic number, because the mean of its divisors is an integer number (17828748).

Almost surely, 2^966894240 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 966894240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711559808).

966894240 is an abundant number, since it is smaller than the sum of its proper divisors (2456225376).

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

966894240 is a wasteful number, since it uses less digits than its factorization.

966894240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6791 (or 6783 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 966894240 is about 31094.9230582743. The cubic root of 966894240 is about 988.8406794567.

The spelling of 966894240 in words is "nine hundred sixty-six million, eight hundred ninety-four thousand, two hundred forty".