84422400 has 108 divisors (see below), whose sum is σ = 278674872. Its totient is φ = 22507520.

The previous prime is 84422399. The next prime is 84422411. The reversal of 84422400 is 422448.

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, 17002 + ... + 21398.

Almost surely, 2^84422400 is an apocalyptic number.

84422400 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 84422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139337436).

84422400 is an abundant number, since it is smaller than the sum of its proper divisors (194252472).

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

84422400 is a wasteful number, since it uses less digits than its factorization.

84422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4426 (or 4407 counting only the distinct ones).

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

The square root of 84422400 is about 9188.1663023696. The cubic root of 84422400 is about 438.6847777660.

Adding to 84422400 its reverse (422448), we get a palindrome (84844848).

The spelling of 84422400 in words is "eighty-four million, four hundred twenty-two thousand, four hundred".