964288 has 56 divisors (see below), whose sum is σ = 2204720. Its totient is φ = 414720.

The previous prime is 964283. The next prime is 964289. The reversal of 964288 is 882469.

964288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15778 + ... + 15838.

It is an arithmetic number, because the mean of its divisors is an integer number (39370).

2⁹⁶⁴²⁸⁸ 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 964288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102360).

964288 is an abundant number, since it is smaller than the sum of its proper divisors (1240432).

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

964288 is a wasteful number, since it uses less digits than its factorization.

964288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 95 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 964288 is about 981.9816698900. The cubic root of 964288 is about 98.7951414615.

Adding to 964288 its product of digits (27648), we get a triangular number (991936 = T₁₄₀₈).

It can be divided in two parts, 9642 and 88, that added together give a triangular number (9730 = T₁₃₉).

The spelling of 964288 in words is "nine hundred sixty-four thousand, two hundred eighty-eight".