83536824 has 128 divisors (see below), whose sum is σ = 249523200. Its totient is φ = 22809600.

The previous prime is 83536823. The next prime is 83536841. The reversal of 83536824 is 42863538.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83536823) 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, 553149 + ... + 553299.

It is an arithmetic number, because the mean of its divisors is an integer number (1949400).

Almost surely, 2^83536824 is an apocalyptic number.

83536824 is a gapful number since it is divisible by the number (84) 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 83536824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124761600).

83536824 is an abundant number, since it is smaller than the sum of its proper divisors (165986376).

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

83536824 is a wasteful number, since it uses less digits than its factorization.

83536824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 289 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 83536824 is about 9139.8481387822. The cubic root of 83536824 is about 437.1454743135.

The spelling of 83536824 in words is "eighty-three million, five hundred thirty-six thousand, eight hundred twenty-four".