83104400 has 60 divisors (see below), whose sum is σ = 200553012. Its totient is φ = 33093120.

The previous prime is 83104393. The next prime is 83104429. The reversal of 83104400 is 440138.

It can be written as a sum of positive squares in 6 ways, for example, as 10445824 + 72658576 = 3232^2 + 8524^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148922 + ... + 149478.

Almost surely, 2^83104400 is an apocalyptic number.

83104400 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 83104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100276506).

83104400 is an abundant number, since it is smaller than the sum of its proper divisors (117448612).

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

83104400 is a wasteful number, since it uses less digits than its factorization.

83104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 83104400 is about 9116.1614729008. The cubic root of 83104400 is about 436.3898821545.

Adding to 83104400 its reverse (440138), we get a palindrome (83544538).

The spelling of 83104400 in words is "eighty-three million, one hundred four thousand, four hundred".