83545344 has 216 divisors, whose sum is σ = 267845760. Its totient is φ = 25878528.

The previous prime is 83545321. The next prime is 83545349. The reversal of 83545344 is 44354538.

83545344 is a `hidden beast` number, since 83 + 545 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 83545299 and 83545308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83545349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1057497 + ... + 1057575.

Almost surely, 2^83545344 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 83545344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133922880).

83545344 is an abundant number, since it is smaller than the sum of its proper divisors (184300416).

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

83545344 is an equidigital number, since it uses as much as digits as its factorization.

83545344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 101 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 83545344 is about 9140.3142177936. The cubic root of 83545344 is about 437.1603354356.

It can be divided in two parts, 8354534 and 4, that added together give a palindrome (8354538).

The spelling of 83545344 in words is "eighty-three million, five hundred forty-five thousand, three hundred forty-four".