80541648 has 160 divisors (see below), whose sum is σ = 267304320. Its totient is φ = 22947840.

The previous prime is 80541647. The next prime is 80541679. The reversal of 80541648 is 84614508.

80541648 is a `hidden beast` number, since 8 + 0 + 5 + 4 + 1 + 648 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80541647) 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, 80286 + ... + 81282.

It is an arithmetic number, because the mean of its divisors is an integer number (1670652).

Almost surely, 2^80541648 is an apocalyptic number.

80541648 is a gapful number since it is divisible by the number (88) 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 80541648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133652160).

80541648 is an abundant number, since it is smaller than the sum of its proper divisors (186762672).

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

80541648 is a wasteful number, since it uses less digits than its factorization.

80541648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 80541648 is about 8974.4998746448. The cubic root of 80541648 is about 431.8572058922.

The spelling of 80541648 in words is "eighty million, five hundred forty-one thousand, six hundred forty-eight".