80013960 has 256 divisors, whose sum is σ = 296352000. Its totient is φ = 19077120.

The previous prime is 80013893. The next prime is 80013977. The reversal of 80013960 is 6931008.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 575571 + ... + 575709.

It is an arithmetic number, because the mean of its divisors is an integer number (1157625).

Almost surely, 2^80013960 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 80013960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148176000).

80013960 is an abundant number, since it is smaller than the sum of its proper divisors (216338040).

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

80013960 is a wasteful number, since it uses less digits than its factorization.

80013960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 80013960 is about 8945.0522636819. The cubic root of 80013960 is about 430.9119998056.

Adding to 80013960 its reverse (6931008), we get a palindrome (86944968).

The spelling of 80013960 in words is "eighty million, thirteen thousand, nine hundred sixty".