80144064 has 336 divisors, whose sum is σ = 310652160. Its totient is φ = 19077120.

The previous prime is 80144047. The next prime is 80144087. The reversal of 80144064 is 46044108.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576507 + ... + 576645.

It is an arithmetic number, because the mean of its divisors is an integer number (924560).

Almost surely, 2^80144064 is an apocalyptic number.

80144064 is a gapful number since it is divisible by the number (84) 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 80144064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155326080).

80144064 is an abundant number, since it is smaller than the sum of its proper divisors (230508096).

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

80144064 is a wasteful number, since it uses less digits than its factorization.

80144064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 80144064 is about 8952.3217100370. The cubic root of 80144064 is about 431.1454299703.

The spelling of 80144064 in words is "eighty million, one hundred forty-four thousand, sixty-four".