64221120 has 112 divisors (see below), whose sum is σ = 226588320. Its totient is φ = 17123328.

The previous prime is 64221103. The next prime is 64221127. The reversal of 64221120 is 2112246.

64221120 is a `hidden beast` number, since 642 + 2 + 1 + 1 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 64221093 and 64221102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64221127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4924 + ... + 12356.

It is an arithmetic number, because the mean of its divisors is an integer number (2023110).

Almost surely, 2^64221120 is an apocalyptic number.

64221120 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 64221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113294160).

64221120 is an abundant number, since it is smaller than the sum of its proper divisors (162367200).

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

64221120 is a wasteful number, since it uses less digits than its factorization.

64221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7459 (or 7443 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 64221120 is about 8013.8080835518. The cubic root of 64221120 is about 400.4601371482.

Adding to 64221120 its reverse (2112246), we get a palindrome (66333366).

The spelling of 64221120 in words is "sixty-four million, two hundred twenty-one thousand, one hundred twenty".