964629120 has 256 divisors, whose sum is σ = 3784999680. Its totient is φ = 203489280.

The previous prime is 964629091. The next prime is 964629121. The reversal of 964629120 is 21926469.

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

It is not an unprimeable number, because it can be changed into a prime (964629121) 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, 171960 + ... + 177480.

It is an arithmetic number, because the mean of its divisors is an integer number (14785155).

Almost surely, 2^964629120 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 964629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892499840).

964629120 is an abundant number, since it is smaller than the sum of its proper divisors (2820370560).

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

964629120 is a wasteful number, since it uses less digits than its factorization.

964629120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5563 (or 5551 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 964629120 is about 31058.4790355227. The cubic root of 964629120 is about 988.0678978837.

The spelling of 964629120 in words is "nine hundred sixty-four million, six hundred twenty-nine thousand, one hundred twenty".