84523140 has 144 divisors (see below), whose sum is σ = 283164336. Its totient is φ = 20275200.

The previous prime is 84523111. The next prime is 84523141. The reversal of 84523140 is 4132548.

It can be written as a sum of positive squares in 8 ways, for example, as 37161216 + 47361924 = 6096^2 + 6882^2 .

It is a super-2 number, since 2×84523140² = 14288322390919200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84523141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95500 + ... + 96380.

It is an arithmetic number, because the mean of its divisors is an integer number (1966419).

Almost surely, 2^84523140 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 84523140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141582168).

84523140 is an abundant number, since it is smaller than the sum of its proper divisors (198641196).

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

84523140 is a wasteful number, since it uses less digits than its factorization.

84523140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 945 counting only the distinct ones).

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

The square root of 84523140 is about 9193.6467193383. The cubic root of 84523140 is about 438.8592004225.

Adding to 84523140 its reverse (4132548), we get a palindrome (88655688).

The spelling of 84523140 in words is "eighty-four million, five hundred twenty-three thousand, one hundred forty".