83639064 has 64 divisors (see below), whose sum is σ = 221760000. Its totient is φ = 26213760.

The previous prime is 83639053. The next prime is 83639069. The reversal of 83639064 is 46093638.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83639069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67329 + ... + 68559.

It is an arithmetic number, because the mean of its divisors is an integer number (3465000).

Almost surely, 2^83639064 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 83639064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110880000).

83639064 is an abundant number, since it is smaller than the sum of its proper divisors (138120936).

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

83639064 is a wasteful number, since it uses less digits than its factorization.

83639064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 83639064 is about 9145.4395192358. The cubic root of 83639064 is about 437.3237411349.

The spelling of 83639064 in words is "eighty-three million, six hundred thirty-nine thousand, sixty-four".