83427864 has 96 divisors (see below), whose sum is σ = 229965120. Its totient is φ = 25204608.

The previous prime is 83427863. The next prime is 83427881. The reversal of 83427864 is 46872438.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83427863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271599 + ... + 271905.

It is an arithmetic number, because the mean of its divisors is an integer number (2395470).

Almost surely, 2^83427864 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 83427864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114982560).

83427864 is an abundant number, since it is smaller than the sum of its proper divisors (146537256).

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

83427864 is a wasteful number, since it uses less digits than its factorization.

83427864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 392 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 83427864 is about 9133.8854820936. The cubic root of 83427864 is about 436.9553302441.

The spelling of 83427864 in words is "eighty-three million, four hundred twenty-seven thousand, eight hundred sixty-four".