64251144 has 112 divisors (see below), whose sum is σ = 188870400. Its totient is φ = 20443104.

The previous prime is 64251139. The next prime is 64251149. The reversal of 64251144 is 44115246.

64251144 is a `hidden beast` number, since 642 + 5 + 1 + 14 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (64251139) and next prime (64251149).

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 (64251149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 133897 + ... + 134375.

Almost surely, 2^64251144 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 64251144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94435200).

64251144 is an abundant number, since it is smaller than the sum of its proper divisors (124619256).

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

64251144 is a wasteful number, since it uses less digits than its factorization.

64251144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 507 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 64251144 is about 8015.6811313824. The cubic root of 64251144 is about 400.5225337656.

It can be divided in two parts, 6425 and 1144, that added together give a square (7569 = 87²).

The spelling of 64251144 in words is "sixty-four million, two hundred fifty-one thousand, one hundred forty-four".