6962040 has 96 divisors (see below), whose sum is σ = 22997520. Its totient is φ = 1826304.

The previous prime is 6962029. The next prime is 6962041. The reversal of 6962040 is 402696.

6962040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 6961995 and 6962013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6962041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29764 + ... + 29996.

Almost surely, 2^6962040 is an apocalyptic number.

6962040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6962040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11498760).

6962040 is an abundant number, since it is smaller than the sum of its proper divisors (16035480).

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

6962040 is a wasteful number, since it uses less digits than its factorization.

6962040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6962040 is about 2638.5677933303. The cubic root of 6962040 is about 190.9467062553.

The spelling of 6962040 in words is "six million, nine hundred sixty-two thousand, forty".