64122720 has 192 divisors, whose sum is σ = 217728000. Its totient is φ = 15814656.

The previous prime is 64122703. The next prime is 64122731. The reversal of 64122720 is 2722146.

It is a super-2 number, since 2×64122720² = 8223446440396800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 720436 + ... + 720524.

It is an arithmetic number, because the mean of its divisors is an integer number (1134000).

Almost surely, 2^64122720 is an apocalyptic number.

64122720 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 64122720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864000).

64122720 is an abundant number, since it is smaller than the sum of its proper divisors (153605280).

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

64122720 is a wasteful number, since it uses less digits than its factorization.

64122720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 64122720 is about 8007.6663267147. Note that the first 3 decimals coincide. The cubic root of 64122720 is about 400.2555034269.

Adding to 64122720 its reverse (2722146), we get a palindrome (66844866).

The spelling of 64122720 in words is "sixty-four million, one hundred twenty-two thousand, seven hundred twenty".