84538944 has 224 divisors, whose sum is σ = 295046400. Its totient is φ = 23224320.

The previous prime is 84538931. The next prime is 84538957. The reversal of 84538944 is 44983548.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (84538931) and next prime (84538957).

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 84538944.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 350664 + ... + 350904.

Almost surely, 2^84538944 is an apocalyptic number.

84538944 is a gapful number since it is divisible by the number (84) 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 84538944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147523200).

84538944 is an abundant number, since it is smaller than the sum of its proper divisors (210507456).

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

84538944 is a wasteful number, since it uses less digits than its factorization.

84538944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 282 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 84538944 is about 9194.5061857611. The cubic root of 84538944 is about 438.8865511124.

The spelling of 84538944 in words is "eighty-four million, five hundred thirty-eight thousand, nine hundred forty-four".