10957842 has 48 divisors (see below), whose sum is σ = 28147392. Its totient is φ = 3129840.

The previous prime is 10957829. The next prime is 10957847. The reversal of 10957842 is 24875901.

It is a junction number, because it is equal to n+sod(n) for n = 10957797 and 10957806.

It is not an unprimeable number, because it can be changed into a prime (10957847) 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, 1792 + ... + 5012.

It is an arithmetic number, because the mean of its divisors is an integer number (586404).

Almost surely, 2^10957842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10957842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14073696).

10957842 is an abundant number, since it is smaller than the sum of its proper divisors (17189550).

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

10957842 is an equidigital number, since it uses as much as digits as its factorization.

10957842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3245 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 10957842 is about 3310.2631315350. The cubic root of 10957842 is about 222.1135284923.

The spelling of 10957842 in words is "ten million, nine hundred fifty-seven thousand, eight hundred forty-two".