84492144 has 120 divisors (see below), whose sum is σ = 264451824. Its totient is φ = 24960000.

The previous prime is 84492073. The next prime is 84492151. The reversal of 84492144 is 44129448.

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 = 84492099 and 84492108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64294 + ... + 65594.

Almost surely, 2^84492144 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 84492144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132225912).

84492144 is an abundant number, since it is smaller than the sum of its proper divisors (179959680).

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

84492144 is a wasteful number, since it uses less digits than its factorization.

84492144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1358 counting only the distinct ones).

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

The square root of 84492144 is about 9191.9608354257. The cubic root of 84492144 is about 438.8055482790.

The spelling of 84492144 in words is "eighty-four million, four hundred ninety-two thousand, one hundred forty-four".