84675240 has 256 divisors, whose sum is σ = 314092800. Its totient is φ = 20155392.

The previous prime is 84675221. The next prime is 84675251. The reversal of 84675240 is 4257648.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 84675195 and 84675204.

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, 519399 + ... + 519561.

It is an arithmetic number, because the mean of its divisors is an integer number (1226925).

Almost surely, 2^84675240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84675240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157046400).

84675240 is an abundant number, since it is smaller than the sum of its proper divisors (229417560).

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

84675240 is a wasteful number, since it uses less digits than its factorization.

84675240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 84675240 is about 9201.9150180818. The cubic root of 84675240 is about 439.1222861094.

The spelling of 84675240 in words is "eighty-four million, six hundred seventy-five thousand, two hundred forty".