6962112 has 140 divisors (see below), whose sum is σ = 22128480. Its totient is φ = 2156544.

The previous prime is 6962107. The next prime is 6962147. The reversal of 6962112 is 2112696.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 88089 + ... + 88167.

Almost surely, 2^6962112 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 6962112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11064240).

6962112 is an abundant number, since it is smaller than the sum of its proper divisors (15166368).

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

6962112 is a wasteful number, since it uses less digits than its factorization.

6962112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 101 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 6962112 is about 2638.5814370605. The cubic root of 6962112 is about 190.9473644971.

The spelling of 6962112 in words is "six million, nine hundred sixty-two thousand, one hundred twelve".