964527520 has 96 divisors (see below), whose sum is σ = 2497340160. Its totient is φ = 349117440.

The previous prime is 964527497. The next prime is 964527527. The reversal of 964527520 is 25725469.

964527520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (964527527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 419494 + ... + 421786.

It is an arithmetic number, because the mean of its divisors is an integer number (26013960).

Almost surely, 2^964527520 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 964527520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248670080).

964527520 is an abundant number, since it is smaller than the sum of its proper divisors (1532812640).

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

964527520 is a wasteful number, since it uses less digits than its factorization.

964527520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 964527520 is about 31056.8433682498. The cubic root of 964527520 is about 988.0332070991.

The spelling of 964527520 in words is "nine hundred sixty-four million, five hundred twenty-seven thousand, five hundred twenty".