83556384 has 48 divisors (see below), whose sum is σ = 222358752. Its totient is φ = 27468288.

The previous prime is 83556383. The next prime is 83556409. The reversal of 83556384 is 48365538.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (83556383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1047 + ... + 12969.

It is an arithmetic number, because the mean of its divisors is an integer number (4632474).

Almost surely, 2^83556384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83556384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111179376).

83556384 is an abundant number, since it is smaller than the sum of its proper divisors (138802368).

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

83556384 is a wasteful number, since it uses less digits than its factorization.

83556384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12009 (or 12001 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 83556384 is about 9140.9181158131. The cubic root of 83556384 is about 437.1795905981.

The spelling of 83556384 in words is "eighty-three million, five hundred fifty-six thousand, three hundred eighty-four".