84870144 has 66 divisors (see below), whose sum is σ = 245087310. Its totient is φ = 28286976.

The previous prime is 84870127. The next prime is 84870179. The reversal of 84870144 is 44107848.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 58982400 + 25887744 = 7680^2 + 5088^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 84870099 and 84870108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4612 + ... + 13820.

Almost surely, 2^84870144 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 84870144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122543655).

84870144 is an abundant number, since it is smaller than the sum of its proper divisors (160217166).

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

84870144 is a wasteful number, since it uses less digits than its factorization.

84870144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9235 (or 9214 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 84870144 is about 9212.4993351424. The cubic root of 84870144 is about 439.4589492890.

The spelling of 84870144 in words is "eighty-four million, eight hundred seventy thousand, one hundred forty-four".