84741800 has 96 divisors (see below), whose sum is σ = 231547680. Its totient is φ = 28435200.

The previous prime is 84741791. The next prime is 84741809. The reversal of 84741800 is 814748.

It is an interprime number because it is at equal distance from previous prime (84741791) and next prime (84741809).

It is not an unprimeable number, because it can be changed into a prime (84741809) by changing a digit.

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, 27119 + ... + 30081.

It is an arithmetic number, because the mean of its divisors is an integer number (2411955).

Almost surely, 2^84741800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84741800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115773840).

84741800 is an abundant number, since it is smaller than the sum of its proper divisors (146805880).

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

84741800 is a wasteful number, since it uses less digits than its factorization.

84741800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003 (or 2994 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 84741800 is about 9205.5309461215. The cubic root of 84741800 is about 439.2373151088.

The spelling of 84741800 in words is "eighty-four million, seven hundred forty-one thousand, eight hundred".