84326400 has 288 divisors, whose sum is σ = 314823600. Its totient is φ = 22118400.

The previous prime is 84326371. The next prime is 84326419. The reversal of 84326400 is 462348.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×84326400² = 14221883473920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1382370 + ... + 1382430.

Almost surely, 2^84326400 is an apocalyptic number.

84326400 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 84326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157411800).

84326400 is an abundant number, since it is smaller than the sum of its proper divisors (230497200).

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

84326400 is a wasteful number, since it uses less digits than its factorization.

84326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 84326400 is about 9182.9407054603. The cubic root of 84326400 is about 438.5184328472.

Adding to 84326400 its reverse (462348), we get a palindrome (84788748).

The spelling of 84326400 in words is "eighty-four million, three hundred twenty-six thousand, four hundred".