80643528 has 96 divisors (see below), whose sum is σ = 254404800. Its totient is φ = 22598784.

The previous prime is 80643527. The next prime is 80643553. The reversal of 80643528 is 82534608.

80643528 is a `hidden beast` number, since 8 + 0 + 643 + 5 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 80643492 and 80643501.

It is not an unprimeable number, because it can be changed into a prime (80643527) 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, 25203 + ... + 28221.

It is an arithmetic number, because the mean of its divisors is an integer number (2650050).

Almost surely, 2^80643528 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 80643528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127202400).

80643528 is an abundant number, since it is smaller than the sum of its proper divisors (173761272).

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

80643528 is a wasteful number, since it uses less digits than its factorization.

80643528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3091 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 80643528 is about 8980.1741631218. The cubic root of 80643528 is about 432.0392196903.

The spelling of 80643528 in words is "eighty million, six hundred forty-three thousand, five hundred twenty-eight".