83354400 has 288 divisors, whose sum is σ = 320604480. Its totient is φ = 20828160.

The previous prime is 83354399. The next prime is 83354407. The reversal of 83354400 is 445338.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 (83354407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367087 + ... + 367313.

It is an arithmetic number, because the mean of its divisors is an integer number (1113210).

Almost surely, 2^83354400 is an apocalyptic number.

83354400 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 83354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160302240).

83354400 is an abundant number, since it is smaller than the sum of its proper divisors (237250080).

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

83354400 is a wasteful number, since it uses less digits than its factorization.

83354400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 83354400 is about 9129.8630876920. The cubic root of 83354400 is about 436.8270361239.

Adding to 83354400 its reverse (445338), we get a palindrome (83799738).

The spelling of 83354400 in words is "eighty-three million, three hundred fifty-four thousand, four hundred".