84838240 has 48 divisors (see below), whose sum is σ = 201721968. Its totient is φ = 33716736.

The previous prime is 84838219. The next prime is 84838241. The reversal of 84838240 is 4283848.

It is a self number, because there is not a number n which added to its sum of digits gives 84838240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84838241) 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, 24454 + ... + 27706.

It is an arithmetic number, because the mean of its divisors is an integer number (4202541).

Almost surely, 2^84838240 is an apocalyptic number.

84838240 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 84838240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100860984).

84838240 is an abundant number, since it is smaller than the sum of its proper divisors (116883728).

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

84838240 is a wasteful number, since it uses less digits than its factorization.

84838240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3431 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 84838240 is about 9210.7676118769. The cubic root of 84838240 is about 439.4038759150.

It can be divided in two parts, 84838 and 240, that added together give a triangular number (85078 = T₄₁₂).

The spelling of 84838240 in words is "eighty-four million, eight hundred thirty-eight thousand, two hundred forty".