84748500 has 144 divisors (see below), whose sum is σ = 275118480. Its totient is φ = 21945600.

The previous prime is 84748487. The next prime is 84748507. The reversal of 84748500 is 584748.

84748500 is a `hidden beast` number, since 84 + 74 + 8 + 500 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3640464 + 81108036 = 1908^2 + 9006^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84748507) 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 47 ways as a sum of consecutive naturals, for example, 166246 + ... + 166754.

It is an arithmetic number, because the mean of its divisors is an integer number (1910545).

Almost surely, 2^84748500 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 84748500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137559240).

84748500 is an abundant number, since it is smaller than the sum of its proper divisors (190369980).

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

84748500 is a wasteful number, since it uses less digits than its factorization.

84748500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 84748500 is about 9205.8948505835. The cubic root of 84748500 is about 439.2488907124.

The spelling of 84748500 in words is "eighty-four million, seven hundred forty-eight thousand, five hundred".