84294144 has 120 divisors (see below), whose sum is σ = 265554432. Its totient is φ = 25528320.

The previous prime is 84294139. The next prime is 84294151. The reversal of 84294144 is 44149248.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 84294099 and 84294108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49857 + ... + 51519.

Almost surely, 2^84294144 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 84294144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132777216).

84294144 is an abundant number, since it is smaller than the sum of its proper divisors (181260288).

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

84294144 is a wasteful number, since it uses less digits than its factorization.

84294144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1679 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 84294144 is about 9181.1842373411. The cubic root of 84294144 is about 438.4625126195.

Subtracting from 84294144 its reverse (44149248), we obtain a square (40144896 = 6336²).

The spelling of 84294144 in words is "eighty-four million, two hundred ninety-four thousand, one hundred forty-four".