953920 has 56 divisors (see below), whose sum is σ = 2487168. Its totient is φ = 345600.

The previous prime is 953917. The next prime is 953923. The reversal of 953920 is 29359.

It is an interprime number because it is at equal distance from previous prime (953917) and next prime (953923).

It is not an unprimeable number, because it can be changed into a prime (953923) 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, 3385 + ... + 3655.

2⁹⁵³⁹²⁰ 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 953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243584).

953920 is an abundant number, since it is smaller than the sum of its proper divisors (1533248).

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

953920 is a wasteful number, since it uses less digits than its factorization.

953920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 28.

The square root of 953920 is about 976.6882818996. The cubic root of 953920 is about 98.4397838556.

It can be divided in two parts, 9539 and 20, that added together give a palindrome (9559).

The spelling of 953920 in words is "nine hundred fifty-three thousand, nine hundred twenty".