83414400 has 96 divisors (see below), whose sum is σ = 274777800. Its totient is φ = 22241280.

The previous prime is 83414347. The next prime is 83414413. The reversal of 83414400 is 441438.

It is a tau number, because it is divible by the number of its divisors (96).

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5256 + ... + 13944.

Almost surely, 2^83414400 is an apocalyptic number.

83414400 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 83414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137388900).

83414400 is an abundant number, since it is smaller than the sum of its proper divisors (191363400).

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

83414400 is a wasteful number, since it uses less digits than its factorization.

83414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8716 (or 8699 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 83414400 is about 9133.1484166195. The cubic root of 83414400 is about 436.9318229776.

Adding to 83414400 its reverse (441438), we get a palindrome (83855838).

The spelling of 83414400 in words is "eighty-three million, four hundred fourteen thousand, four hundred".