964875000 has 224 divisors, whose sum is σ = 3149959680. Its totient is φ = 246000000.

The previous prime is 964874987. The next prime is 964875029. The reversal of 964875000 is 578469.

964875000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 964875000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11624959 + ... + 11625041.

It is an arithmetic number, because the mean of its divisors is an integer number (14062320).

Almost surely, 2^964875000 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 964875000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574979840).

964875000 is an abundant number, since it is smaller than the sum of its proper divisors (2185084680).

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

964875000 is an equidigital number, since it uses as much as digits as its factorization.

964875000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 964875000 is about 31062.4371226728. The cubic root of 964875000 is about 988.1518422345.

It can be divided in two parts, 9648 and 75000, that added together give a palindrome (84648).

The spelling of 964875000 in words is "nine hundred sixty-four million, eight hundred seventy-five thousand".