6798624 has 96 divisors (see below), whose sum is σ = 20837376. Its totient is φ = 1900800.

The previous prime is 6798619. The next prime is 6798643. The reversal of 6798624 is 4268976.

6798624 = 297² + 298² + ... + 359².

6798624 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 44949 + ... + 45099.

It is an arithmetic number, because the mean of its divisors is an integer number (217056).

Almost surely, 2^6798624 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 6798624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10418688).

6798624 is an abundant number, since it is smaller than the sum of its proper divisors (14038752).

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

6798624 is a wasteful number, since it uses less digits than its factorization.

6798624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 230 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 6798624 is about 2607.4171127765. The cubic root of 6798624 is about 189.4408677409.

The spelling of 6798624 in words is "six million, seven hundred ninety-eight thousand, six hundred twenty-four".