84406938 has 96 divisors (see below), whose sum is σ = 224767872. Its totient is φ = 20613120.

The previous prime is 84406937. The next prime is 84406951. The reversal of 84406938 is 83960448.

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

It is a self number, because there is not a number n which added to its sum of digits gives 84406938.

It is not an unprimeable number, because it can be changed into a prime (84406937) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85906 + ... + 86882.

It is an arithmetic number, because the mean of its divisors is an integer number (2341332).

Almost surely, 2^84406938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84406938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112383936).

84406938 is an abundant number, since it is smaller than the sum of its proper divisors (140360934).

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

84406938 is a wasteful number, since it uses less digits than its factorization.

84406938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 84406938 is about 9187.3248554734. The cubic root of 84406938 is about 438.6579943603.

The spelling of 84406938 in words is "eighty-four million, four hundred six thousand, nine hundred thirty-eight".