6436920 has 128 divisors (see below), whose sum is σ = 22579200. Its totient is φ = 1437696.

The previous prime is 6436919. The next prime is 6436939. The reversal of 6436920 is 296346.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66312 + ... + 66408.

It is an arithmetic number, because the mean of its divisors is an integer number (176400).

Almost surely, 2^6436920 is an apocalyptic number.

6436920 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 6436920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11289600).

6436920 is an abundant number, since it is smaller than the sum of its proper divisors (16142280).

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

6436920 is a wasteful number, since it uses less digits than its factorization.

6436920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 6436920 is about 2537.1085905022. The cubic root of 6436920 is about 186.0198845662.

The spelling of 6436920 in words is "six million, four hundred thirty-six thousand, nine hundred twenty".