6973824 has 128 divisors (see below), whose sum is σ = 21934080. Its totient is φ = 1935360.

The previous prime is 6973819. The next prime is 6973831. The reversal of 6973824 is 4283796.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (72576) is a multiple of the sum of its prime factors (168).

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, 54849 + ... + 54975.

It is an arithmetic number, because the mean of its divisors is an integer number (171360).

Almost surely, 2^6973824 is an apocalyptic number.

6973824 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 6973824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10967040).

6973824 is an abundant number, since it is smaller than the sum of its proper divisors (14960256).

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

6973824 is a wasteful number, since it uses less digits than its factorization.

6973824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 156 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 6973824 is about 2640.7998788246. The cubic root of 6973824 is about 191.0543781282.

The spelling of 6973824 in words is "six million, nine hundred seventy-three thousand, eight hundred twenty-four".