64026144 has 216 divisors, whose sum is σ = 228746700. Its totient is φ = 16837632.

The previous prime is 64026121. The next prime is 64026187. The reversal of 64026144 is 44162046.

64026144 is a `hidden beast` number, since 6 + 40 + 2 + 614 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63680400 + 345744 = 7980^2 + 588^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 183282 + ... + 183630.

Almost surely, 2^64026144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64026144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114373350).

64026144 is an abundant number, since it is smaller than the sum of its proper divisors (164720556).

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

64026144 is a wasteful number, since it uses less digits than its factorization.

64026144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 64026144 is about 8001.6338331618. The cubic root of 64026144 is about 400.0544592518.

The spelling of 64026144 in words is "sixty-four million, twenty-six thousand, one hundred forty-four".