905645568 has 80 divisors (see below), whose sum is σ = 2423773440. Its totient is φ = 300496896.

The previous prime is 905645561. The next prime is 905645581. The reversal of 905645568 is 865546509.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (905645561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 365871 + ... + 368337.

It is an arithmetic number, because the mean of its divisors is an integer number (30297168).

Almost surely, 2^905645568 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 905645568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211886720).

905645568 is an abundant number, since it is smaller than the sum of its proper divisors (1518127872).

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

905645568 is a wasteful number, since it uses less digits than its factorization.

905645568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 48.

The square root of 905645568 is about 30093.9457034135. The cubic root of 905645568 is about 967.5039691629.

The spelling of 905645568 in words is "nine hundred five million, six hundred forty-five thousand, five hundred sixty-eight".