943684416 has 126 divisors (see below), whose sum is σ = 2873879190. Its totient is φ = 296005632.

The previous prime is 943684397. The next prime is 943684421. The reversal of 943684416 is 614486349.

It can be written as a sum of positive squares in 3 ways, for example, as 259338816 + 684345600 = 16104^2 + 26160^2 .

It is a super-2 number, since 2×943684416² = 1781080554002522112, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 163630 + ... + 169298.

It is an arithmetic number, because the mean of its divisors is an integer number (22808565).

Almost surely, 2^943684416 is an apocalyptic number.

943684416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 943684416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436939595).

943684416 is an abundant number, since it is smaller than the sum of its proper divisors (1930194774).

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

943684416 is a wasteful number, since it uses less digits than its factorization.

943684416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5721 (or 5691 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 943684416 is about 30719.4468700203. The cubic root of 943684416 is about 980.8642992973.

The spelling of 943684416 in words is "nine hundred forty-three million, six hundred eighty-four thousand, four hundred sixteen".