957840 has 80 divisors (see below), whose sum is σ = 3208128. Its totient is φ = 235008.

The previous prime is 957823. The next prime is 957851. The reversal of 957840 is 48759.

957840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

957840 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, 2967 + ... + 3273.

2⁹⁵⁷⁸⁴⁰ 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 957840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604064).

957840 is an abundant number, since it is smaller than the sum of its proper divisors (2250288).

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

957840 is a wasteful number, since it uses less digits than its factorization.

957840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 957840 is about 978.6930060034. The cubic root of 957840 is about 98.5744410518.

The spelling of 957840 in words is "nine hundred fifty-seven thousand, eight hundred forty".