83835400 has 96 divisors (see below), whose sum is σ = 216950400. Its totient is φ = 29868800.

The previous prime is 83835383. The next prime is 83835407. The reversal of 83835400 is 453838.

It is not an unprimeable number, because it can be changed into a prime (83835407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116241 + ... + 116959.

It is an arithmetic number, because the mean of its divisors is an integer number (2259900).

Almost surely, 2^83835400 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 83835400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108475200).

83835400 is an abundant number, since it is smaller than the sum of its proper divisors (133115000).

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

83835400 is a wasteful number, since it uses less digits than its factorization.

83835400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 83835400 is about 9156.1673204458. The cubic root of 83835400 is about 437.6656678710.

The spelling of 83835400 in words is "eighty-three million, eight hundred thirty-five thousand, four hundred".