84538240 has 64 divisors (see below), whose sum is σ = 208667520. Its totient is φ = 32716800.

The previous prime is 84538213. The next prime is 84538241. The reversal of 84538240 is 4283548.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 84538196 and 84538205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84538241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17710 + ... + 21970.

It is an arithmetic number, because the mean of its divisors is an integer number (3260430).

Almost surely, 2^84538240 is an apocalyptic number.

84538240 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 84538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104333760).

84538240 is an abundant number, since it is smaller than the sum of its proper divisors (124129280).

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

84538240 is a wasteful number, since it uses less digits than its factorization.

84538240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4311 (or 4299 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 84538240 is about 9194.4679019506. The cubic root of 84538240 is about 438.8853328298.

The spelling of 84538240 in words is "eighty-four million, five hundred thirty-eight thousand, two hundred forty".