83054400 has 336 divisors, whose sum is σ = 322771008. Its totient is φ = 18585600.

The previous prime is 83054383. The next prime is 83054431. The reversal of 83054400 is 445038.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6388794 + ... + 6388806.

It is an arithmetic number, because the mean of its divisors is an integer number (960628).

Almost surely, 2^83054400 is an apocalyptic number.

83054400 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 83054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161385504).

83054400 is an abundant number, since it is smaller than the sum of its proper divisors (239716608).

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

83054400 is a wasteful number, since it uses less digits than its factorization.

83054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 83054400 is about 9113.4186779715. The cubic root of 83054400 is about 436.3023461898.

Adding to 83054400 its reverse (445038), we get a palindrome (83499438).

The spelling of 83054400 in words is "eighty-three million, fifty-four thousand, four hundred".