84014400 has 168 divisors, whose sum is σ = 287999424. Its totient is φ = 21401600.

The previous prime is 84014387. The next prime is 84014419. The reversal of 84014400 is 441048.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110020 + ... + 110780.

Almost surely, 2^84014400 is an apocalyptic number.

84014400 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 84014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143999712).

84014400 is an abundant number, since it is smaller than the sum of its proper divisors (203985024).

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

84014400 is a wasteful number, since it uses less digits than its factorization.

84014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 84014400 is about 9165.9369406515. The cubic root of 84014400 is about 437.9769383825.

Adding to 84014400 its reverse (441048), we get a palindrome (84455448).

The spelling of 84014400 in words is "eighty-four million, fourteen thousand, four hundred".