84136800 has 144 divisors (see below), whose sum is σ = 298855872. Its totient is φ = 20390400.

The previous prime is 84136799. The next prime is 84136831. The reversal of 84136800 is 863148.

It is a happy number.

It is a super-2 number, since 2×84136800² = 14158002228480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24807 + ... + 27993.

It is an arithmetic number, because the mean of its divisors is an integer number (2075388).

Almost surely, 2^84136800 is an apocalyptic number.

84136800 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 84136800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149427936).

84136800 is an abundant number, since it is smaller than the sum of its proper divisors (214719072).

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

84136800 is a wasteful number, since it uses less digits than its factorization.

84136800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3221 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 84136800 is about 9172.6114057012. The cubic root of 84136800 is about 438.1895303684.

Adding to 84136800 its reverse (863148), we get a palindrome (84999948).

The spelling of 84136800 in words is "eighty-four million, one hundred thirty-six thousand, eight hundred".