905345640 has 128 divisors (see below), whose sum is σ = 3026160000. Its totient is φ = 240758784.

The previous prime is 905345633. The next prime is 905345671. The reversal of 905345640 is 46543509.

It is a happy number.

905345640 is a `hidden beast` number, since 9 + 0 + 5 + 3 + 4 + 5 + 640 = 666.

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 = 905345595 and 905345604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483987 + ... + 485853.

It is an arithmetic number, because the mean of its divisors is an integer number (23641875).

Almost surely, 2^905345640 is an apocalyptic number.

905345640 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 905345640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513080000).

905345640 is an abundant number, since it is smaller than the sum of its proper divisors (2120814360).

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

905345640 is a wasteful number, since it uses less digits than its factorization.

905345640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 905345640 is about 30088.9620957586. The cubic root of 905345640 is about 967.3971526995.

The spelling of 905345640 in words is "nine hundred five million, three hundred forty-five thousand, six hundred forty".