84570240 has 128 divisors (see below), whose sum is σ = 285534720. Its totient is φ = 21217280.

The previous prime is 84570221. The next prime is 84570247. The reversal of 84570240 is 4207548.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 84570198 and 84570207.

It is not an unprimeable number, because it can be changed into a prime (84570247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31345 + ... + 33935.

It is an arithmetic number, because the mean of its divisors is an integer number (2230740).

Almost surely, 2^84570240 is an apocalyptic number.

84570240 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 84570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142767360).

84570240 is an abundant number, since it is smaller than the sum of its proper divisors (200964480).

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

84570240 is a wasteful number, since it uses less digits than its factorization.

84570240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 84570240 is about 9196.2079141350. The cubic root of 84570240 is about 438.9407024825.

Adding to 84570240 its reverse (4207548), we get a palindrome (88777788).

The spelling of 84570240 in words is "eighty-four million, five hundred seventy thousand, two hundred forty".