84509040 has 320 divisors, whose sum is σ = 347120640. Its totient is φ = 16465920.

The previous prime is 84509039. The next prime is 84509059. The reversal of 84509040 is 4090548.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 84508989 and 84509007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 314026 + ... + 314294.

It is an arithmetic number, because the mean of its divisors is an integer number (1084752).

Almost surely, 2^84509040 is an apocalyptic number.

84509040 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 84509040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173560320).

84509040 is an abundant number, since it is smaller than the sum of its proper divisors (262611600).

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

84509040 is a wasteful number, since it uses less digits than its factorization.

84509040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 84509040 is about 9192.8798534518. The cubic root of 84509040 is about 438.8347958282.

Adding to 84509040 its reverse (4090548), we get a palindrome (88599588).

The spelling of 84509040 in words is "eighty-four million, five hundred nine thousand, forty".