64256220 has 192 divisors, whose sum is σ = 232243200. Its totient is φ = 14446080.

The previous prime is 64256219. The next prime is 64256221. The reversal of 64256220 is 2265246.

It is an interprime number because it is at equal distance from previous prime (64256219) and next prime (64256221).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64256221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 336325 + ... + 336515.

It is an arithmetic number, because the mean of its divisors is an integer number (1209600).

Almost surely, 2^64256220 is an apocalyptic number.

64256220 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 64256220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116121600).

64256220 is an abundant number, since it is smaller than the sum of its proper divisors (167986980).

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

64256220 is a wasteful number, since it uses less digits than its factorization.

64256220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 64256220 is about 8015.9977544907. The cubic root of 64256220 is about 400.5330809129.

The spelling of 64256220 in words is "sixty-four million, two hundred fifty-six thousand, two hundred twenty".