966262440 has 192 divisors, whose sum is σ = 3432038400. Its totient is φ = 216184320.

The previous prime is 966262433. The next prime is 966262469. The reversal of 966262440 is 44262669.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186201 + ... + 191319.

It is an arithmetic number, because the mean of its divisors is an integer number (17875200).

Almost surely, 2^966262440 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 966262440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716019200).

966262440 is an abundant number, since it is smaller than the sum of its proper divisors (2465775960).

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

966262440 is a wasteful number, since it uses less digits than its factorization.

966262440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5168 (or 5153 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 966262440 is about 31084.7621834236. The cubic root of 966262440 is about 988.6252523562.

The spelling of 966262440 in words is "nine hundred sixty-six million, two hundred sixty-two thousand, four hundred forty".