83904000 has 320 divisors, whose sum is σ = 306408960. Its totient is φ = 20275200.

The previous prime is 83903987. The next prime is 83904001. The reversal of 83904000 is 40938.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83904001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3647989 + ... + 3648011.

It is an arithmetic number, because the mean of its divisors is an integer number (957528).

Almost surely, 2^83904000 is an apocalyptic number.

83904000 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 83904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153204480).

83904000 is an abundant number, since it is smaller than the sum of its proper divisors (222504960).

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

83904000 is a wasteful number, since it uses less digits than its factorization.

83904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 83904000 is about 9159.9126633391. The cubic root of 83904000 is about 437.7850115664.

Adding to 83904000 its reverse (40938), we get a palindrome (83944938).

The spelling of 83904000 in words is "eighty-three million, nine hundred four thousand".