964541564 has 48 divisors (see below), whose sum is σ = 2039955456. Its totient is φ = 390268800.

The previous prime is 964541561. The next prime is 964541609. The reversal of 964541564 is 465145469.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964541561) 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, 22037 + ... + 49139.

It is an arithmetic number, because the mean of its divisors is an integer number (42499072).

Almost surely, 2^964541564 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 964541564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019977728).

964541564 is an abundant number, since it is smaller than the sum of its proper divisors (1075413892).

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

964541564 is a wasteful number, since it uses less digits than its factorization.

964541564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27186 (or 27184 counting only the distinct ones).

The product of its digits is 518400, while the sum is 44.

The square root of 964541564 is about 31057.0694689631. The cubic root of 964541564 is about 988.0380024940.

The spelling of 964541564 in words is "nine hundred sixty-four million, five hundred forty-one thousand, five hundred sixty-four".