84946800 has 120 divisors (see below), whose sum is σ = 281611440. Its totient is φ = 21862400.

The previous prime is 84946787. The next prime is 84946859. The reversal of 84946800 is 864948.

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

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, 33580 + ... + 36020.

It is an arithmetic number, because the mean of its divisors is an integer number (2346762).

Almost surely, 2^84946800 is an apocalyptic number.

84946800 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 84946800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140805720).

84946800 is an abundant number, since it is smaller than the sum of its proper divisors (196664640).

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

84946800 is a wasteful number, since it uses less digits than its factorization.

84946800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 84946800 is about 9216.6588306175. The cubic root of 84946800 is about 439.5912181351.

The spelling of 84946800 in words is "eighty-four million, nine hundred forty-six thousand, eight hundred".