944087040 has 336 divisors, whose sum is σ = 3542266728. Its totient is φ = 231211008.

The previous prime is 944087021. The next prime is 944087047. The reversal of 944087040 is 40780449.

It can be written as a sum of positive squares in 4 ways, for example, as 840536064 + 103550976 = 28992^2 + 10176^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 944086986 and 944087004.

It is not an unprimeable number, because it can be changed into a prime (944087047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4792222 + ... + 4792418.

Almost surely, 2^944087040 is an apocalyptic number.

944087040 is a gapful number since it is divisible by the number (90) 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 944087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771133364).

944087040 is an abundant number, since it is smaller than the sum of its proper divisors (2598179688).

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

944087040 is a wasteful number, since it uses less digits than its factorization.

944087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 944087040 is about 30725.9994141769. Note that the first 3 decimals coincide. The cubic root of 944087040 is about 981.0037750761.

Adding to 944087040 its sum of digits (36), we get a square (944087076 = 30726²).

The spelling of 944087040 in words is "nine hundred forty-four million, eighty-seven thousand, forty".