84242400 has 144 divisors (see below), whose sum is σ = 299230848. Its totient is φ = 20416000.

The previous prime is 84242393. The next prime is 84242437. The reversal of 84242400 is 424248.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24805 + ... + 27995.

It is an arithmetic number, because the mean of its divisors is an integer number (2077992).

Almost surely, 2^84242400 is an apocalyptic number.

84242400 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 84242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149615424).

84242400 is an abundant number, since it is smaller than the sum of its proper divisors (214988448).

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

84242400 is a wasteful number, since it uses less digits than its factorization.

84242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3225 (or 3212 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 84242400 is about 9178.3658676259. The cubic root of 84242400 is about 438.3727774490.

Adding to 84242400 its reverse (424248), we get a palindrome (84666648).

The spelling of 84242400 in words is "eighty-four million, two hundred forty-two thousand, four hundred".