84206400 has 168 divisors, whose sum is σ = 282330144. Its totient is φ = 21964800.

The previous prime is 84206399. The next prime is 84206417. The reversal of 84206400 is 460248.

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 23 ways as a sum of consecutive naturals, for example, 254235 + ... + 254565.

Almost surely, 2^84206400 is an apocalyptic number.

84206400 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 84206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141165072).

84206400 is an abundant number, since it is smaller than the sum of its proper divisors (198123744).

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

84206400 is a wasteful number, since it uses less digits than its factorization.

84206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 394 counting only the distinct ones).

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

The square root of 84206400 is about 9176.4045246491. The cubic root of 84206400 is about 438.3103240664.

Adding to 84206400 its reverse (460248), we get a palindrome (84666648).

The spelling of 84206400 in words is "eighty-four million, two hundred six thousand, four hundred".