964125120 has 224 divisors, whose sum is σ = 3565721088. Its totient is φ = 216133632.

The previous prime is 964125103. The next prime is 964125121. The reversal of 964125120 is 21521469.

964125120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964125121) 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, 354807 + ... + 357513.

Almost surely, 2^964125120 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 964125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782860544).

964125120 is an abundant number, since it is smaller than the sum of its proper divisors (2601595968).

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

964125120 is a wasteful number, since it uses less digits than its factorization.

964125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 964125120 is about 31050.3642490712. The cubic root of 964125120 is about 987.8957858029.

Adding to 964125120 its reverse (21521469), we get a palindrome (985646589).

The spelling of 964125120 in words is "nine hundred sixty-four million, one hundred twenty-five thousand, one hundred twenty".