83835648 has 180 divisors, whose sum is σ = 270077808. Its totient is φ = 25712640.

The previous prime is 83835641. The next prime is 83835649. The reversal of 83835648 is 84653838.

83835648 is a `hidden beast` number, since 8 + 3 + 83 + 564 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (83835641) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 269413 + ... + 269723.

Almost surely, 2^83835648 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 83835648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135038904).

83835648 is an abundant number, since it is smaller than the sum of its proper divisors (186242160).

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

83835648 is a wasteful number, since it uses less digits than its factorization.

83835648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 329 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 83835648 is about 9156.1808632202. The cubic root of 83835648 is about 437.6660994348. Note that the first 3 decimals are identical.

The spelling of 83835648 in words is "eighty-three million, eight hundred thirty-five thousand, six hundred forty-eight".