83727864 has 128 divisors (see below), whose sum is σ = 256608000. Its totient is φ = 25084800.

The previous prime is 83727841. The next prime is 83727877. The reversal of 83727864 is 46872738.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311122 + ... + 311390.

It is an arithmetic number, because the mean of its divisors is an integer number (2004750).

Almost surely, 2^83727864 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 83727864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128304000).

83727864 is an abundant number, since it is smaller than the sum of its proper divisors (172880136).

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

83727864 is a wasteful number, since it uses less digits than its factorization.

83727864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 416 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 83727864 is about 9150.2931100594. The cubic root of 83727864 is about 437.4784559731.

The spelling of 83727864 in words is "eighty-three million, seven hundred twenty-seven thousand, eight hundred sixty-four".