960000 has 100 divisors (see below), whose sum is σ = 3195852. Its totient is φ = 256000.

The previous prime is 959969. The next prime is 960017. The reversal of 960000 is 69.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 10 and base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 191998 + ... + 192002.

2⁹⁶⁰⁰⁰⁰ 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 960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597926).

960000 is an abundant number, since it is smaller than the sum of its proper divisors (2235852).

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

960000 is an frugal number, since it uses more digits than its factorization.

960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 960000 is about 979.7958971133. The cubic root of 960000 is about 98.6484829732.

960000 divided by its sum of digits (15) gives a cube (64000 = 40³).

Multiplying 960000 by its product of nonzero digits (54), we get a square (51840000 = 7200²).

Adding to 960000 its reverse (69), we get a palindrome (960069).

The spelling of 960000 in words is "nine hundred sixty thousand".