853106742 has 40 divisors (see below), whose sum is σ = 1919610792. Its totient is φ = 283176000.

The previous prime is 853106671. The next prime is 853106747. The reversal of 853106742 is 247601358.

It is a super-2 number, since 2×853106742² = 1455582226491709128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 853106697 and 853106706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853106747) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28117 + ... + 49967.

Almost surely, 2^853106742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853106742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959805396).

853106742 is an abundant number, since it is smaller than the sum of its proper divisors (1066504050).

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

853106742 is a wasteful number, since it uses less digits than its factorization.

853106742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22106 (or 22097 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 853106742 is about 29207.9910640907. The cubic root of 853106742 is about 948.4209194740.

The spelling of 853106742 in words is "eight hundred fifty-three million, one hundred six thousand, seven hundred forty-two".