6996996 has 96 divisors (see below), whose sum is σ = 19918080. Its totient is φ = 2115072.

The previous prime is 6996989. The next prime is 6997021.

6996996 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 6³ + 9³ + 9³ + 6⁴ + 9⁶ + 9⁷ + 6⁸ .

Its product of digits (1417176) is a multiple of the sum of its prime divisors (162).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67881 + ... + 67983.

It is an arithmetic number, because the mean of its divisors is an integer number (207480).

Almost surely, 2^6996996 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 6996996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9959040).

6996996 is an abundant number, since it is smaller than the sum of its proper divisors (12921084).

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

6996996 is a wasteful number, since it uses less digits than its factorization.

6996996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 162 counting only the distinct ones).

The product of its digits is 1417176, while the sum is 54.

The square root of 6996996 is about 2645.1835475067. The cubic root of 6996996 is about 191.2657503368.

The spelling of 6996996 in words is "six million, nine hundred ninety-six thousand, nine hundred ninety-six".