64400144 has 40 divisors (see below), whose sum is σ = 129777408. Its totient is φ = 30925440.

The previous prime is 64400137. The next prime is 64400153. The reversal of 64400144 is 44100446.

64400144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77459 + ... + 78285.

Almost surely, 2^64400144 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 64400144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64888704).

64400144 is an abundant number, since it is smaller than the sum of its proper divisors (65377264).

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

64400144 is a wasteful number, since it uses less digits than its factorization.

64400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 64400144 is about 8024.9700310967. The cubic root of 64400144 is about 400.8319019816.

The spelling of 64400144 in words is "sixty-four million, four hundred thousand, one hundred forty-four".