64224006 has 64 divisors (see below), whose sum is σ = 163468800. Its totient is φ = 16675680.

The previous prime is 64223987. The next prime is 64224007. The reversal of 64224006 is 60042246.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64224007) 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, 21220 + ... + 24056.

It is an arithmetic number, because the mean of its divisors is an integer number (2554200).

Almost surely, 2^64224006 is an apocalyptic number.

64224006 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 64224006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81734400).

64224006 is an abundant number, since it is smaller than the sum of its proper divisors (99244794).

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

64224006 is a wasteful number, since it uses less digits than its factorization.

64224006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 64224006 is about 8013.9881457362. The cubic root of 64224006 is about 400.4661357493.

The spelling of 64224006 in words is "sixty-four million, two hundred twenty-four thousand, six".