83934300 has 72 divisors (see below), whose sum is σ = 244873216. Its totient is φ = 22196160.

The previous prime is 83934299. The next prime is 83934307. The reversal of 83934300 is 343938.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83934307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36999 + ... + 39201.

Almost surely, 2^83934300 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 83934300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122436608).

83934300 is an abundant number, since it is smaller than the sum of its proper divisors (160938916).

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

83934300 is a wasteful number, since it uses less digits than its factorization.

83934300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 83934300 is about 9161.5664599456. The cubic root of 83934300 is about 437.8377038870.

The spelling of 83934300 in words is "eighty-three million, nine hundred thirty-four thousand, three hundred".