84052320 has 96 divisors (see below), whose sum is σ = 288852480. Its totient is φ = 20375040.

The previous prime is 84052307. The next prime is 84052321. The reversal of 84052320 is 2325048.

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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84052321) 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, 2680 + ... + 13239.

It is an arithmetic number, because the mean of its divisors is an integer number (3008880).

Almost surely, 2^84052320 is an apocalyptic number.

84052320 is a gapful number since it is divisible by the number (80) 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 84052320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144426240).

84052320 is an abundant number, since it is smaller than the sum of its proper divisors (204800160).

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

84052320 is a wasteful number, since it uses less digits than its factorization.

84052320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15948 (or 15940 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 84052320 is about 9168.0052356006. The cubic root of 84052320 is about 438.0428222764.

Adding to 84052320 its reverse (2325048), we get a palindrome (86377368).

The spelling of 84052320 in words is "eighty-four million, fifty-two thousand, three hundred twenty".