83486144 has 56 divisors (see below), whose sum is σ = 190243968. Its totient is φ = 35608320.

The previous prime is 83486141. The next prime is 83486153. The reversal of 83486144 is 44168438.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 83486098 and 83486107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83486141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148007 + ... + 148569.

Almost surely, 2^83486144 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 83486144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95121984).

83486144 is an abundant number, since it is smaller than the sum of its proper divisors (106757824).

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

83486144 is a wasteful number, since it uses less digits than its factorization.

83486144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 903 counting only the distinct ones).

The product of its digits is 73728, while the sum is 38.

The square root of 83486144 is about 9137.0752432056. The cubic root of 83486144 is about 437.0570541681.

The spelling of 83486144 in words is "eighty-three million, four hundred eighty-six thousand, one hundred forty-four".