964798120 has 128 divisors (see below), whose sum is σ = 2633057280. Its totient is φ = 313344000.

The previous prime is 964798117. The next prime is 964798123. The reversal of 964798120 is 21897469.

It is an interprime number because it is at equal distance from previous prime (964798117) and next prime (964798123).

It is not an unprimeable number, because it can be changed into a prime (964798123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174600 + ... + 180040.

It is an arithmetic number, because the mean of its divisors is an integer number (20570760).

Almost surely, 2^964798120 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 964798120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316528640).

964798120 is an abundant number, since it is smaller than the sum of its proper divisors (1668259160).

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

964798120 is a wasteful number, since it uses less digits than its factorization.

964798120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5507 (or 5503 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The square root of 964798120 is about 31061.1995904859. The cubic root of 964798120 is about 988.1255966477.

The spelling of 964798120 in words is "nine hundred sixty-four million, seven hundred ninety-eight thousand, one hundred twenty".