966814240 has 96 divisors (see below), whose sum is σ = 2747848320. Its totient is φ = 314025984.

The previous prime is 966814231. The next prime is 966814249. The reversal of 966814240 is 42418669.

It is an interprime number because it is at equal distance from previous prime (966814231) and next prime (966814249).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 966814193 and 966814202.

It is not an unprimeable number, because it can be changed into a prime (966814249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1437 + ... + 43996.

It is an arithmetic number, because the mean of its divisors is an integer number (28623420).

Almost surely, 2^966814240 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 966814240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373924160).

966814240 is an abundant number, since it is smaller than the sum of its proper divisors (1781034080).

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

966814240 is a wasteful number, since it uses less digits than its factorization.

966814240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45474 (or 45466 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 966814240 is about 31093.6366480346. The cubic root of 966814240 is about 988.8134067613.

The spelling of 966814240 in words is "nine hundred sixty-six million, eight hundred fourteen thousand, two hundred forty".