6736920 has 64 divisors (see below), whose sum is σ = 20874240. Its totient is φ = 1737600.

The previous prime is 6736897. The next prime is 6736927. The reversal of 6736920 is 296376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6736927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2815 + ... + 4625.

It is an arithmetic number, because the mean of its divisors is an integer number (326160).

Almost surely, 2^6736920 is an apocalyptic number.

6736920 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 6736920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10437120).

6736920 is an abundant number, since it is smaller than the sum of its proper divisors (14137320).

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

6736920 is a wasteful number, since it uses less digits than its factorization.

6736920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 6736920 is about 2595.5577435303. The cubic root of 6736920 is about 188.8660061989.

The spelling of 6736920 in words is "six million, seven hundred thirty-six thousand, nine hundred twenty".