84040320 has 384 divisors, whose sum is σ = 340467840. Its totient is φ = 17252352.

The previous prime is 84040303. The next prime is 84040331. The reversal of 84040320 is 2304048.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2271342 + ... + 2271378.

It is an arithmetic number, because the mean of its divisors is an integer number (886635).

Almost surely, 2^84040320 is an apocalyptic number.

84040320 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 84040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170233920).

84040320 is an abundant number, since it is smaller than the sum of its proper divisors (256427520).

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

84040320 is a wasteful number, since it uses less digits than its factorization.

84040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 84040320 is about 9167.3507623522. The cubic root of 84040320 is about 438.0219750864.

Adding to 84040320 its reverse (2304048), we get a palindrome (86344368).

The spelling of 84040320 in words is "eighty-four million, forty thousand, three hundred twenty".