64614144 has 216 divisors, whose sum is σ = 213908688. Its totient is φ = 17203200.

The previous prime is 64614139. The next prime is 64614149. The reversal of 64614144 is 44141646.

It is an interprime number because it is at equal distance from previous prime (64614139) and next prime (64614149).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64614149) 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, 639694 + ... + 639794.

It is an arithmetic number, because the mean of its divisors is an integer number (990318).

Almost surely, 2^64614144 is an apocalyptic number.

64614144 is a gapful number since it is divisible by the number (64) 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 64614144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106954344).

64614144 is an abundant number, since it is smaller than the sum of its proper divisors (149294544).

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

64614144 is a wasteful number, since it uses less digits than its factorization.

64614144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 130 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 64614144 is about 8038.2923559672. The cubic root of 64614144 is about 401.2753957587.

The spelling of 64614144 in words is "sixty-four million, six hundred fourteen thousand, one hundred forty-four".