953040 has 120 divisors (see below), whose sum is σ = 3401568. Its totient is φ = 218880.

The previous prime is 953039. The next prime is 953041. The reversal of 953040 is 40359.

It is an interprime number because it is at equal distance from previous prime (953039) and next prime (953041).

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 952998 and 953016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (953041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50151 + ... + 50169.

2⁹⁵³⁰⁴⁰ 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 953040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700784).

953040 is an abundant number, since it is smaller than the sum of its proper divisors (2448528).

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

953040 is a wasteful number, since it uses less digits than its factorization.

953040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 953040 is about 976.2376759785. The cubic root of 953040 is about 98.4095040063.

Adding to 953040 its reverse (40359), we get a palindrome (993399).

The spelling of 953040 in words is "nine hundred fifty-three thousand, forty".