84534240 has 192 divisors, whose sum is σ = 308206080. Its totient is φ = 19077120.

The previous prime is 84534221. The next prime is 84534253. The reversal of 84534240 is 4243548.

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 = 84534198 and 84534207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466950 + ... + 467130.

It is an arithmetic number, because the mean of its divisors is an integer number (1605240).

Almost surely, 2^84534240 is an apocalyptic number.

84534240 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 84534240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154103040).

84534240 is an abundant number, since it is smaller than the sum of its proper divisors (223671840).

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

84534240 is a wasteful number, since it uses less digits than its factorization.

84534240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 84534240 is about 9194.2503772738. The cubic root of 84534240 is about 438.8784106408.

Adding to 84534240 its reverse (4243548), we get a palindrome (88777788).

The spelling of 84534240 in words is "eighty-four million, five hundred thirty-four thousand, two hundred forty".