6966920 has 64 divisors (see below), whose sum is σ = 16848000. Its totient is φ = 2585088.

The previous prime is 6966919. The next prime is 6966929. The reversal of 6966920 is 296696.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (6966929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67589 + ... + 67691.

It is an arithmetic number, because the mean of its divisors is an integer number (263250).

Almost surely, 2^6966920 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 6966920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8424000).

6966920 is an abundant number, since it is smaller than the sum of its proper divisors (9881080).

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

6966920 is a wasteful number, since it uses less digits than its factorization.

6966920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 38.

The square root of 6966920 is about 2639.4923754389. The cubic root of 6966920 is about 190.9913101499.

The spelling of 6966920 in words is "six million, nine hundred sixty-six thousand, nine hundred twenty".