83454384 has 80 divisors (see below), whose sum is σ = 244428800. Its totient is φ = 24323328.

The previous prime is 83454359. The next prime is 83454389. The reversal of 83454384 is 48345438.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (83454389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8337 + ... + 15375.

It is an arithmetic number, because the mean of its divisors is an integer number (3055360).

Almost surely, 2^83454384 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 83454384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122214400).

83454384 is an abundant number, since it is smaller than the sum of its proper divisors (160974416).

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

83454384 is a wasteful number, since it uses less digits than its factorization.

83454384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7082 (or 7076 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 83454384 is about 9135.3371037964. The cubic root of 83454384 is about 437.0016250396.

It can be divided in two parts, 83454 and 384, that added together give a palindrome (83838).

The spelling of 83454384 in words is "eighty-three million, four hundred fifty-four thousand, three hundred eighty-four".