84460320 has 480 divisors, whose sum is σ = 365904000. Its totient is φ = 18289152.

The previous prime is 84460319. The next prime is 84460357. The reversal of 84460320 is 2306448.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4445271 + ... + 4445289.

It is an arithmetic number, because the mean of its divisors is an integer number (762300).

Almost surely, 2^84460320 is an apocalyptic number.

84460320 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 84460320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182952000).

84460320 is an abundant number, since it is smaller than the sum of its proper divisors (281443680).

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

84460320 is a wasteful number, since it uses less digits than its factorization.

84460320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 84460320 is about 9190.2295945205. The cubic root of 84460320 is about 438.7504492654.

Adding to 84460320 its reverse (2306448), we get a palindrome (86766768).

The spelling of 84460320 in words is "eighty-four million, four hundred sixty thousand, three hundred twenty".