6976720 has 40 divisors (see below), whose sum is σ = 16666344. Its totient is φ = 2714112.

The previous prime is 6976699. The next prime is 6976729. The reversal of 6976720 is 276796.

It can be written as a sum of positive squares in 4 ways, for example, as 944784 + 6031936 = 972^2 + 2456^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 6976720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6976729) by changing a digit.

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, 1782 + ... + 4138.

Almost surely, 2^6976720 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 6976720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8333172).

6976720 is an abundant number, since it is smaller than the sum of its proper divisors (9689624).

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

6976720 is a wasteful number, since it uses less digits than its factorization.

6976720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 6976720 is about 2641.3481406282. The cubic root of 6976720 is about 191.0808206706.

The spelling of 6976720 in words is "six million, nine hundred seventy-six thousand, seven hundred twenty".