940588416 has 128 divisors (see below), whose sum is σ = 2799206400. Its totient is φ = 310915584.

The previous prime is 940588387. The next prime is 940588423. The reversal of 940588416 is 614885049.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 437841 + ... + 439983.

It is an arithmetic number, because the mean of its divisors is an integer number (21868800).

Almost surely, 2^940588416 is an apocalyptic number.

940588416 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 940588416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399603200).

940588416 is an abundant number, since it is smaller than the sum of its proper divisors (1858617984).

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

940588416 is a wasteful number, since it uses less digits than its factorization.

940588416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 940588416 is about 30669.0139391536. The cubic root of 940588416 is about 979.7904647121.

The spelling of 940588416 in words is "nine hundred forty million, five hundred eighty-eight thousand, four hundred sixteen".