83546848 has 96 divisors (see below), whose sum is σ = 210325248. Its totient is φ = 31718400.

The previous prime is 83546831. The next prime is 83546867. The reversal of 83546848 is 84864538.

It is a junction number, because it is equal to n+sod(n) for n = 83546798 and 83546807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100611 + ... + 101437.

It is an arithmetic number, because the mean of its divisors is an integer number (2190888).

Almost surely, 2^83546848 is an apocalyptic number.

83546848 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83546848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105162624).

83546848 is an abundant number, since it is smaller than the sum of its proper divisors (126778400).

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

83546848 is a wasteful number, since it uses less digits than its factorization.

83546848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 888 counting only the distinct ones).

The product of its digits is 737280, while the sum is 46.

The square root of 83546848 is about 9140.3964903061. The cubic root of 83546848 is about 437.1629587025.

The spelling of 83546848 in words is "eighty-three million, five hundred forty-six thousand, eight hundred forty-eight".