84391944 has 128 divisors (see below), whose sum is σ = 275063040. Its totient is φ = 20938752.

The previous prime is 84391933. The next prime is 84391963. The reversal of 84391944 is 44919348.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 84391896 and 84391905.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35992 + ... + 38264.

It is an arithmetic number, because the mean of its divisors is an integer number (2148930).

Almost surely, 2^84391944 is an apocalyptic number.

84391944 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 84391944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137531520).

84391944 is an abundant number, since it is smaller than the sum of its proper divisors (190671096).

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

84391944 is a wasteful number, since it uses less digits than its factorization.

84391944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319 (or 2315 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 84391944 is about 9186.5088036751. The cubic root of 84391944 is about 438.6320185040.

The spelling of 84391944 in words is "eighty-four million, three hundred ninety-one thousand, nine hundred forty-four".