6364512 has 216 divisors, whose sum is σ = 23528232. Its totient is φ = 1612800.

The previous prime is 6364493. The next prime is 6364513. The reversal of 6364512 is 2154636.

6364512 is a `hidden beast` number, since 6 + 3 + 645 + 12 = 666.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6364513) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 155212 + ... + 155252.

It is an arithmetic number, because the mean of its divisors is an integer number (108927).

Almost surely, 2^6364512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6364512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11764116).

6364512 is an abundant number, since it is smaller than the sum of its proper divisors (17163720).

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

6364512 is a wasteful number, since it uses less digits than its factorization.

6364512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 64 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 6364512 is about 2522.7984461704. The cubic root of 6364512 is about 185.3197489598.

It can be divided in two parts, 63 and 64512, that multiplied together give a square (4064256 = 2016²).

The spelling of 6364512 in words is "six million, three hundred sixty-four thousand, five hundred twelve".