6996864 has 128 divisors (see below), whose sum is σ = 22521600. Its totient is φ = 1880064.

The previous prime is 6996851. The next prime is 6996907. The reversal of 6996864 is 4686996.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×6996864² = 97912211668992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a d-powerful number, because it can be written as 6 + 9⁶ + 9⁷ + 6⁴ + 8³ + 6⁸ + 4⁵ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51004 + ... + 51140.

It is an arithmetic number, because the mean of its divisors is an integer number (175950).

Almost surely, 2^6996864 is an apocalyptic number.

6996864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6996864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11260800).

6996864 is an abundant number, since it is smaller than the sum of its proper divisors (15524736).

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

6996864 is a wasteful number, since it uses less digits than its factorization.

6996864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 168 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 6996864 is about 2645.1585963794. The cubic root of 6996864 is about 191.2645475713.

The spelling of 6996864 in words is "six million, nine hundred ninety-six thousand, eight hundred sixty-four".