84652320 has 96 divisors (see below), whose sum is σ = 275304960. Its totient is φ = 21841920.

The previous prime is 84652319. The next prime is 84652339. The reversal of 84652320 is 2325648.

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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12036 + ... + 17724.

It is an arithmetic number, because the mean of its divisors is an integer number (2867760).

Almost surely, 2^84652320 is an apocalyptic number.

84652320 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 84652320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137652480).

84652320 is an abundant number, since it is smaller than the sum of its proper divisors (190652640).

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

84652320 is a wasteful number, since it uses less digits than its factorization.

84652320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5738 (or 5730 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 84652320 is about 9200.6695408541. The cubic root of 84652320 is about 439.0826618106.

Adding to 84652320 its reverse (2325648), we get a palindrome (86977968).

The spelling of 84652320 in words is "eighty-four million, six hundred fifty-two thousand, three hundred twenty".