6739920 has 240 divisors, whose sum is σ = 26462592. Its totient is φ = 1520640.

The previous prime is 6739913. The next prime is 6739921. The reversal of 6739920 is 299376.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6739921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182142 + ... + 182178.

Almost surely, 2^6739920 is an apocalyptic number.

6739920 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 6739920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13231296).

6739920 is an abundant number, since it is smaller than the sum of its proper divisors (19722672).

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

6739920 is a wasteful number, since it uses less digits than its factorization.

6739920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 6739920 is about 2596.1355896794. The cubic root of 6739920 is about 188.8940365123.

Adding to 6739920 its sum of digits (36), we get a triangular number (6739956 = T₃₆₇₁).

The spelling of 6739920 in words is "six million, seven hundred thirty-nine thousand, nine hundred twenty".