6962016 has 48 divisors (see below), whose sum is σ = 18676224. Its totient is φ = 2269824.

The previous prime is 6962009. The next prime is 6962029. The reversal of 6962016 is 6102696.

6962016 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 3741 + ... + 5283.

It is an arithmetic number, because the mean of its divisors is an integer number (389088).

Almost surely, 2^6962016 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 6962016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9338112).

6962016 is an abundant number, since it is smaller than the sum of its proper divisors (11714208).

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

6962016 is a wasteful number, since it uses less digits than its factorization.

6962016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 6962016 is about 2638.5632454046. The cubic root of 6962016 is about 190.9464868404.

Adding to 6962016 its sum of digits (30), we get a triangular number (6962046 = T₃₇₃₁).

The spelling of 6962016 in words is "six million, nine hundred sixty-two thousand, sixteen".