83014400 has 216 divisors, whose sum is σ = 250921440. Its totient is φ = 26542080.

The previous prime is 83014397. The next prime is 83014409. The reversal of 83014400 is 441038.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (83014409) 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, 761546 + ... + 761654.

Almost surely, 2^83014400 is an apocalyptic number.

83014400 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 83014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125460720).

83014400 is an abundant number, since it is smaller than the sum of its proper divisors (167907040).

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

83014400 is a wasteful number, since it uses less digits than its factorization.

83014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 83014400 is about 9111.2238475410. The cubic root of 83014400 is about 436.2322921195.

Adding to 83014400 its reverse (441038), we get a palindrome (83455438).

The spelling of 83014400 in words is "eighty-three million, fourteen thousand, four hundred".