94266144 has 288 divisors, whose sum is σ = 339655680. Its totient is φ = 24178176.

The previous prime is 94266127. The next prime is 94266169. The reversal of 94266144 is 44166249.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×94266144² = 17772211809257472, which contains 22 as substring.

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 = 94266099 and 94266108.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 880939 + ... + 881045.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 2^94266144 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 94266144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169827840).

94266144 is an abundant number, since it is smaller than the sum of its proper divisors (245389536).

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

94266144 is a wasteful number, since it uses less digits than its factorization.

94266144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 161 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 94266144 is about 9709.0753421734. The cubic root of 94266144 is about 455.1123081458.

The spelling of 94266144 in words is "ninety-four million, two hundred sixty-six thousand, one hundred forty-four".