80640144 has 160 divisors (see below), whose sum is σ = 253733760. Its totient is φ = 24371712.

The previous prime is 80640113. The next prime is 80640149. The reversal of 80640144 is 44104608.

80640144 is a `hidden beast` number, since 8 + 0 + 640 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (80640149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466042 + ... + 466214.

It is an arithmetic number, because the mean of its divisors is an integer number (1585836).

Almost surely, 2^80640144 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 80640144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126866880).

80640144 is an abundant number, since it is smaller than the sum of its proper divisors (173093616).

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

80640144 is a wasteful number, since it uses less digits than its factorization.

80640144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 274 counting only the distinct ones).

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

The square root of 80640144 is about 8979.9857460911. The cubic root of 80640144 is about 432.0331764644.

The spelling of 80640144 in words is "eighty million, six hundred forty thousand, one hundred forty-four".