6992960 has 84 divisors (see below), whose sum is σ = 18380964. Its totient is φ = 2519040.

The previous prime is 6992959. The next prime is 6992971. The reversal of 6992960 is 692996.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3810304 + 3182656 = 1952^2 + 1784^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170540 + ... + 170580.

It is an arithmetic number, because the mean of its divisors is an integer number (218821).

Almost surely, 2^6992960 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 6992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9190482).

6992960 is an abundant number, since it is smaller than the sum of its proper divisors (11388004).

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

6992960 is a wasteful number, since it uses less digits than its factorization.

6992960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 41.

The square root of 6992960 is about 2644.4205414419. The cubic root of 6992960 is about 191.2289680262.

The spelling of 6992960 in words is "six million, nine hundred ninety-two thousand, nine hundred sixty".