82450144 has 36 divisors (see below), whose sum is σ = 188829144. Its totient is φ = 35335104.

The previous prime is 82450141. The next prime is 82450189. The reversal of 82450144 is 44105428.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82450141) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24724 + ... + 27859.

It is an arithmetic number, because the mean of its divisors is an integer number (5245254).

Almost surely, 2^82450144 is an apocalyptic number.

It is an amenable number.

82450144 is an abundant number, since it is smaller than the sum of its proper divisors (106379000).

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

82450144 is a wasteful number, since it uses less digits than its factorization.

82450144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52607 (or 52592 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 82450144 is about 9080.2061650604. The cubic root of 82450144 is about 435.2416748405.

The spelling of 82450144 in words is "eighty-two million, four hundred fifty thousand, one hundred forty-four".