81524448 has 96 divisors (see below), whose sum is σ = 239692320. Its totient is φ = 26956800.

The previous prime is 81524419. The next prime is 81524449. The reversal of 81524448 is 84442518.

It is a tau number, because it is divible by the number of its divisors (96).

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 (81524449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135348 + ... + 135948.

It is an arithmetic number, because the mean of its divisors is an integer number (2496795).

Almost surely, 2^81524448 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 81524448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119846160).

81524448 is an abundant number, since it is smaller than the sum of its proper divisors (158167872).

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

81524448 is a wasteful number, since it uses less digits than its factorization.

81524448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 763 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 81524448 is about 9029.0889905904. The cubic root of 81524448 is about 433.6066714659.

The spelling of 81524448 in words is "eighty-one million, five hundred twenty-four thousand, four hundred forty-eight".