965088 has 48 divisors (see below), whose sum is σ = 2817360. Its totient is φ = 321408.

The previous prime is 965087. The next prime is 965089. The reversal of 965088 is 880569.

It is an interprime number because it is at equal distance from previous prime (965087) and next prime (965089).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 306 + ... + 1422.

It is an arithmetic number, because the mean of its divisors is an integer number (58695).

2⁹⁶⁵⁰⁸⁸ 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 965088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408680).

965088 is an abundant number, since it is smaller than the sum of its proper divisors (1852272).

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

965088 is a wasteful number, since it uses less digits than its factorization.

965088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 965088 is about 982.3889250190. The cubic root of 965088 is about 98.8224549703.

It can be divided in two parts, 96 and 5088, that added together give a square (5184 = 72²).

The spelling of 965088 in words is "nine hundred sixty-five thousand, eighty-eight".