64144128 has 90 divisors (see below), whose sum is σ = 181386604. Its totient is φ = 20123648.

The previous prime is 64144121. The next prime is 64144141. The reversal of 64144128 is 82144146.

It is a super-2 number, since 2×64144128² = 8228938313760768, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 64144095 and 64144104.

It is not an unprimeable number, because it can be changed into a prime (64144121) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3773176 + ... + 3773192.

Almost surely, 2^64144128 is an apocalyptic number.

64144128 is a gapful number since it is divisible by the number (68) 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 64144128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90693302).

64144128 is an abundant number, since it is smaller than the sum of its proper divisors (117242476).

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

64144128 is an frugal number, since it uses more digits than its factorization.

64144128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 22 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 64144128 is about 8009.0029341985. The cubic root of 64144128 is about 400.3000415481.

The spelling of 64144128 in words is "sixty-four million, one hundred forty-four thousand, one hundred twenty-eight".