83309400 has 144 divisors (see below), whose sum is σ = 288999360. Its totient is φ = 21484800.

The previous prime is 83309399. The next prime is 83309411. The reversal of 83309400 is 490338.

It is a super-2 number, since 2×83309400² = 13880912256720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55054 + ... + 56546.

It is an arithmetic number, because the mean of its divisors is an integer number (2006940).

Almost surely, 2^83309400 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 83309400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144499680).

83309400 is an abundant number, since it is smaller than the sum of its proper divisors (205689960).

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

83309400 is a wasteful number, since it uses less digits than its factorization.

83309400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 83309400 is about 9127.3983149636. The cubic root of 83309400 is about 436.7484129795.

Adding to 83309400 its reverse (490338), we get a palindrome (83799738).

The spelling of 83309400 in words is "eighty-three million, three hundred nine thousand, four hundred".