83619648 has 224 divisors, whose sum is σ = 291307520. Its totient is φ = 23016960.

The previous prime is 83619643. The next prime is 83619659. The reversal of 83619648 is 84691638.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83619643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374865 + ... + 375087.

It is an arithmetic number, because the mean of its divisors is an integer number (1300480).

Almost surely, 2^83619648 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 83619648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145653760).

83619648 is an abundant number, since it is smaller than the sum of its proper divisors (207687872).

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

83619648 is a wasteful number, since it uses less digits than its factorization.

83619648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 266 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 83619648 is about 9144.3779449452. The cubic root of 83619648 is about 437.2898983566.

The spelling of 83619648 in words is "eighty-three million, six hundred nineteen thousand, six hundred forty-eight".