94842144 has 96 divisors (see below), whose sum is σ = 285626880. Its totient is φ = 30585600.

The previous prime is 94842119. The next prime is 94842161. The reversal of 94842144 is 44124849.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 94842099 and 94842108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25014 + ... + 28554.

It is an arithmetic number, because the mean of its divisors is an integer number (2975280).

Almost surely, 2^94842144 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 94842144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142813440).

94842144 is an abundant number, since it is smaller than the sum of its proper divisors (190784736).

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

94842144 is a wasteful number, since it uses less digits than its factorization.

94842144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3591 (or 3577 counting only the distinct ones).

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

The square root of 94842144 is about 9738.6931361451. The cubic root of 94842144 is about 456.0373930555.

It can be divided in two parts, 9484 and 2144, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 94842144 in words is "ninety-four million, eight hundred forty-two thousand, one hundred forty-four".