84406800 has 120 divisors (see below), whose sum is σ = 279228160. Its totient is φ = 21772800.

The previous prime is 84406771. The next prime is 84406841. The reversal of 84406800 is 860448.

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 36066 + ... + 38334.

Almost surely, 2^84406800 is an apocalyptic number.

84406800 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 84406800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139614080).

84406800 is an abundant number, since it is smaller than the sum of its proper divisors (194821360).

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

84406800 is a wasteful number, since it uses less digits than its factorization.

84406800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 84406800 is about 9187.3173451231. The cubic root of 84406800 is about 438.6577553008.

The spelling of 84406800 in words is "eighty-four million, four hundred six thousand, eight hundred".