953940 has 48 divisors (see below), whose sum is σ = 2878848. Its totient is φ = 234624.

The previous prime is 953929. The next prime is 953941. The reversal of 953940 is 49359.

953940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 953898 and 953907.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 953940.

It is not an unprimeable number, because it can be changed into a prime (953941) by changing a digit.

953940 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169 + ... + 1391.

It is an arithmetic number, because the mean of its divisors is an integer number (59976).

2⁹⁵³⁹⁴⁰ 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 953940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439424).

953940 is an abundant number, since it is smaller than the sum of its proper divisors (1924908).

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

953940 is a wasteful number, since it uses less digits than its factorization.

953940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 953940 is about 976.6985205272. The cubic root of 953940 is about 98.4404718176.

The spelling of 953940 in words is "nine hundred fifty-three thousand, nine hundred forty".