941506560 has 180 divisors, whose sum is σ = 3266345628. Its totient is φ = 250871808.

The previous prime is 941506523. The next prime is 941506583. The reversal of 941506560 is 65605149.

941506560 is a `hidden beast` number, since 9 + 41 + 50 + 6 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 479084544 + 462422016 = 21888^2 + 21504^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 736642 + ... + 737918.

Almost surely, 2^941506560 is an apocalyptic number.

941506560 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 941506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633172814).

941506560 is an abundant number, since it is smaller than the sum of its proper divisors (2324839068).

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

941506560 is a wasteful number, since it uses less digits than its factorization.

941506560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 941506560 is about 30683.9788814945. The cubic root of 941506560 is about 980.1091645714.

The spelling of 941506560 in words is "nine hundred forty-one million, five hundred six thousand, five hundred sixty".