6742320 has 80 divisors (see below), whose sum is σ = 22519392. Its totient is φ = 1658880.

The previous prime is 6742313. The next prime is 6742349. The reversal of 6742320 is 232476.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2040 + ... + 4200.

Almost surely, 2^6742320 is an apocalyptic number.

6742320 is a gapful number since it is divisible by the number (60) 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 6742320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11259696).

6742320 is an abundant number, since it is smaller than the sum of its proper divisors (15777072).

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

6742320 is a wasteful number, since it uses less digits than its factorization.

6742320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 6742320 is about 2596.5977740112. The cubic root of 6742320 is about 188.9164547748.

Adding to 6742320 its reverse (232476), we get a palindrome (6974796).

The spelling of 6742320 in words is "six million, seven hundred forty-two thousand, three hundred twenty".