84022400 has 288 divisors, whose sum is σ = 269149440. Its totient is φ = 25344000.

The previous prime is 84022397. The next prime is 84022423. The reversal of 84022400 is 422048.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2710385 + ... + 2710415.

Almost surely, 2^84022400 is an apocalyptic number.

84022400 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 84022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134574720).

84022400 is an abundant number, since it is smaller than the sum of its proper divisors (185127040).

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

84022400 is a wasteful number, since it uses less digits than its factorization.

84022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 84022400 is about 9166.3733286398. The cubic root of 84022400 is about 437.9908395880.

Adding to 84022400 its reverse (422048), we get a palindrome (84444448).

The spelling of 84022400 in words is "eighty-four million, twenty-two thousand, four hundred".