83387648 has 36 divisors (see below), whose sum is σ = 167182848. Its totient is φ = 41510400.

The previous prime is 83387641. The next prime is 83387651. The reversal of 83387648 is 84678338.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83387641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71873 + ... + 73023.

It is an arithmetic number, because the mean of its divisors is an integer number (4643968).

Almost surely, 2^83387648 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 83387648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83591424).

83387648 is an abundant number, since it is smaller than the sum of its proper divisors (83795200).

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

83387648 is a wasteful number, since it uses less digits than its factorization.

83387648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1436 counting only the distinct ones).

The product of its digits is 774144, while the sum is 47.

The square root of 83387648 is about 9131.6837439762. The cubic root of 83387648 is about 436.8851082220.

The spelling of 83387648 in words is "eighty-three million, three hundred eighty-seven thousand, six hundred forty-eight".