83946336 has 48 divisors (see below), whose sum is σ = 221856768. Its totient is φ = 27792000.

The previous prime is 83946307. The next prime is 83946337. The reversal of 83946336 is 63364938.

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

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (83946337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11601 + ... + 17391.

It is an arithmetic number, because the mean of its divisors is an integer number (4622016).

Almost surely, 2^83946336 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 83946336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110928384).

83946336 is an abundant number, since it is smaller than the sum of its proper divisors (137910432).

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

83946336 is a wasteful number, since it uses less digits than its factorization.

83946336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5955 (or 5947 counting only the distinct ones).

The product of its digits is 279936, while the sum is 42.

The square root of 83946336 is about 9162.2233109655. The cubic root of 83946336 is about 437.8586312184.

The spelling of 83946336 in words is "eighty-three million, nine hundred forty-six thousand, three hundred thirty-six".