83632848 has 80 divisors (see below), whose sum is σ = 235151616. Its totient is φ = 25459200.

The previous prime is 83632841. The next prime is 83632849. The reversal of 83632848 is 84823638.

It is a super-2 number, since 2×83632848² = 13988906529182208, which contains 22 as substring.

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 (83632841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62361 + ... + 63687.

Almost surely, 2^83632848 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 83632848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117575808).

83632848 is an abundant number, since it is smaller than the sum of its proper divisors (151518768).

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

83632848 is a wasteful number, since it uses less digits than its factorization.

83632848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1446 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 83632848 is about 9145.0996714087. The cubic root of 83632848 is about 437.3129069959.

It can be divided in two parts, 8363 and 2848, that added together give a palindrome (11211).

The spelling of 83632848 in words is "eighty-three million, six hundred thirty-two thousand, eight hundred forty-eight".