220040064 has 160 divisors (see below), whose sum is σ = 689917800. Its totient is φ = 69424128.

The previous prime is 220040063. The next prime is 220040099. The reversal of 220040064 is 460040022.

220040064 is a `hidden beast` number, since 2 + 200 + 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 not an unprimeable number, because it can be changed into a prime (220040063) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 196434 + ... + 197550.

Almost surely, 2^220040064 is an apocalyptic number.

220040064 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 220040064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344958900).

220040064 is an abundant number, since it is smaller than the sum of its proper divisors (469877736).

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

220040064 is a wasteful number, since it uses less digits than its factorization.

220040064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1141 counting only the distinct ones).

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

The square root of 220040064 is about 14833.7474698742. The cubic root of 220040064 is about 603.7177167260.

Adding to 220040064 its reverse (460040022), we get a palindrome (680080086).

The spelling of 220040064 in words is "two hundred twenty million, forty thousand, sixty-four".