83413800 has 240 divisors, whose sum is σ = 306081600. Its totient is φ = 20995200.

The previous prime is 83413769. The next prime is 83413807. The reversal of 83413800 is 831438.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (83413807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 307665 + ... + 307935.

It is an arithmetic number, because the mean of its divisors is an integer number (1275340).

Almost surely, 2^83413800 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 83413800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153040800).

83413800 is an abundant number, since it is smaller than the sum of its proper divisors (222667800).

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

83413800 is a wasteful number, since it uses less digits than its factorization.

83413800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 83413800 is about 9133.1155691801. The cubic root of 83413800 is about 436.9307753579.

The spelling of 83413800 in words is "eighty-three million, four hundred thirteen thousand, eight hundred".