83424000 has 288 divisors, whose sum is σ = 306109440. Its totient is φ = 19968000.

The previous prime is 83423993. The next prime is 83424001. The reversal of 83424000 is 42438.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (83424001) 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, 1055961 + ... + 1056039.

It is an arithmetic number, because the mean of its divisors is an integer number (1062880).

Almost surely, 2^83424000 is an apocalyptic number.

83424000 is a gapful number since it is divisible by the number (80) 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 83424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153054720).

83424000 is an abundant number, since it is smaller than the sum of its proper divisors (222685440).

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

83424000 is a wasteful number, since it uses less digits than its factorization.

83424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 83424000 is about 9133.6739595849. The cubic root of 83424000 is about 436.9485842107.

Adding to 83424000 its reverse (42438), we get a palindrome (83466438).

The spelling of 83424000 in words is "eighty-three million, four hundred twenty-four thousand".