6364920 has 128 divisors (see below), whose sum is σ = 20736000. Its totient is φ = 1559040.

The previous prime is 6364913. The next prime is 6364921. The reversal of 6364920 is 294636.

6364920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6364921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107851 + ... + 107909.

It is an arithmetic number, because the mean of its divisors is an integer number (162000).

Almost surely, 2^6364920 is an apocalyptic number.

6364920 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 6364920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10368000).

6364920 is an abundant number, since it is smaller than the sum of its proper divisors (14371080).

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

6364920 is a wasteful number, since it uses less digits than its factorization.

6364920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 129 counting only the distinct ones).

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

The square root of 6364920 is about 2522.8793074580. The cubic root of 6364920 is about 185.3237088780.

The spelling of 6364920 in words is "six million, three hundred sixty-four thousand, nine hundred twenty".