6742624 has 48 divisors (see below), whose sum is σ = 15676416. Its totient is φ = 2793600.

The previous prime is 6742577. The next prime is 6742643. The reversal of 6742624 is 4262476.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6459 + ... + 7429.

It is an arithmetic number, because the mean of its divisors is an integer number (326592).

Almost surely, 2^6742624 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 6742624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7838208).

6742624 is an abundant number, since it is smaller than the sum of its proper divisors (8933792).

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

6742624 is a wasteful number, since it uses less digits than its factorization.

6742624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1011 counting only the distinct ones).

The product of its digits is 16128, while the sum is 31.

The square root of 6742624 is about 2596.6563114898. The cubic root of 6742624 is about 188.9192940418.

The spelling of 6742624 in words is "six million, seven hundred forty-two thousand, six hundred twenty-four".