64226880 has 168 divisors, whose sum is σ = 228828600. Its totient is φ = 16515072.

The previous prime is 64226873. The next prime is 64226881. The reversal of 64226880 is 8862246.

64226880 is a `hidden beast` number, since 642 + 2 + 6 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4875264 + 59351616 = 2208^2 + 7704^2 .

It is a super-2 number, since 2×64226880² = 8250184229068800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64226881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83136 + ... + 83904.

It is an arithmetic number, because the mean of its divisors is an integer number (1362075).

Almost surely, 2^64226880 is an apocalyptic number.

64226880 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 64226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114414300).

64226880 is an abundant number, since it is smaller than the sum of its proper divisors (164601720).

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

64226880 is a wasteful number, since it uses less digits than its factorization.

64226880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 64226880 is about 8014.1674552008. The cubic root of 64226880 is about 400.4721092296.

The spelling of 64226880 in words is "sixty-four million, two hundred twenty-six thousand, eight hundred eighty".