20240064 has 224 divisors, whose sum is σ = 69128640. Its totient is φ = 5750784.

The previous prime is 20240021. The next prime is 20240071. The reversal of 20240064 is 46004202.

20240064 is a `hidden beast` number, since 202 + 400 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381862 + ... + 381914.

It is an arithmetic number, because the mean of its divisors is an integer number (308610).

Almost surely, 2^20240064 is an apocalyptic number.

20240064 is a gapful number since it is divisible by the number (24) 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 20240064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34564320).

20240064 is an abundant number, since it is smaller than the sum of its proper divisors (48888576).

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

20240064 is a wasteful number, since it uses less digits than its factorization.

20240064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 20240064 is about 4498.8958645428. The cubic root of 20240064 is about 272.5235016063.

Adding to 20240064 its reverse (46004202), we get a palindrome (66244266).

The spelling of 20240064 in words is "twenty million, two hundred forty thousand, sixty-four".