953344 has 66 divisors (see below), whose sum is σ = 2333580. Its totient is φ = 387072.

The previous prime is 953341. The next prime is 953347. The reversal of 953344 is 443359.

It is an interprime number because it is at equal distance from previous prime (953341) and next prime (953347).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (953341) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50167 + ... + 50185.

953344 is a Friedman number, since it can be written as 4^5*(934-3), using all its digits and the basic arithmetic operations.

2⁹⁵³³⁴⁴ 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 953344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166790).

953344 is an abundant number, since it is smaller than the sum of its proper divisors (1380236).

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

953344 is a wasteful number, since it uses less digits than its factorization.

953344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 28 counting only the distinct ones).

The product of its digits is 6480, while the sum is 28.

The square root of 953344 is about 976.3933633531. The cubic root of 953344 is about 98.4199664244.

The spelling of 953344 in words is "nine hundred fifty-three thousand, three hundred forty-four".