80532144 has 240 divisors, whose sum is σ = 292481280. Its totient is φ = 20839680.

The previous prime is 80532121. The next prime is 80532157. The reversal of 80532144 is 44123508.

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

It is a congruent number.

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, 299242 + ... + 299510.

It is an arithmetic number, because the mean of its divisors is an integer number (1218672).

Almost surely, 2^80532144 is an apocalyptic number.

80532144 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 80532144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

80532144 is an abundant number, since it is smaller than the sum of its proper divisors (211949136).

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

80532144 is a wasteful number, since it uses less digits than its factorization.

80532144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 80532144 is about 8973.9703587654. The cubic root of 80532144 is about 431.8402186877.

The spelling of 80532144 in words is "eighty million, five hundred thirty-two thousand, one hundred forty-four".