83634336 has 48 divisors (see below), whose sum is σ = 243936000. Its totient is φ = 27877824.

The previous prime is 83634323. The next prime is 83634337. The reversal of 83634336 is 63343638.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 83634336.

It is not an unprimeable number, because it can be changed into a prime (83634337) 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, 47536 + ... + 49263.

It is an arithmetic number, because the mean of its divisors is an integer number (5082000).

Almost surely, 2^83634336 is an apocalyptic number.

It is an amenable number.

83634336 is an abundant number, since it is smaller than the sum of its proper divisors (160301664).

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

83634336 is a wasteful number, since it uses less digits than its factorization.

83634336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96818 (or 96804 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 83634336 is about 9145.1810260924. The cubic root of 83634336 is about 437.3155005452.

The spelling of 83634336 in words is "eighty-three million, six hundred thirty-four thousand, three hundred thirty-six".