83534848 has 66 divisors (see below), whose sum is σ = 174727826. Its totient is φ = 39911424.

The previous prime is 83534831. The next prime is 83534881. The reversal of 83534848 is 84843538.

It can be written as a sum of positive squares in 3 ways, for example, as 12166144 + 71368704 = 3488^2 + 8448^2 .

Its product of digits (368640) is a multiple of the sum of its prime divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 861136 + ... + 861232.

Almost surely, 2^83534848 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 83534848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87363913).

83534848 is an abundant number, since it is smaller than the sum of its proper divisors (91192978).

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

83534848 is an equidigital number, since it uses as much as digits as its factorization.

83534848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 128 counting only the distinct ones).

The product of its digits is 368640, while the sum is 43.

The square root of 83534848 is about 9139.7400400668. The cubic root of 83534848 is about 437.1420275051.

It can be divided in two parts, 835348 and 48, that added together give a square (835396 = 914²).

The spelling of 83534848 in words is "eighty-three million, five hundred thirty-four thousand, eight hundred forty-eight".