6935742 has 48 divisors (see below), whose sum is σ = 17117568. Its totient is φ = 2009040.

The previous prime is 6935717. The next prime is 6935749. The reversal of 6935742 is 2475396.

It is a d-powerful number, because it can be written as 6⁷ + 9² + 3¹⁴ + 5³ + 7⁷ + 4¹⁰ + 2⁹ .

It is a junction number, because it is equal to n+sod(n) for n = 6935697 and 6935706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6935749) 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, 3793 + ... + 5315.

It is an arithmetic number, because the mean of its divisors is an integer number (356616).

Almost surely, 2^6935742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6935742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8558784).

6935742 is an abundant number, since it is smaller than the sum of its proper divisors (10181826).

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

6935742 is a wasteful number, since it uses less digits than its factorization.

6935742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1562 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 6935742 is about 2633.5796931173. The cubic root of 6935742 is about 190.7059792824.

The spelling of 6935742 in words is "six million, nine hundred thirty-five thousand, seven hundred forty-two".