905724768 has 192 divisors, whose sum is σ = 2712213504. Its totient is φ = 262656000.

The previous prime is 905724761. The next prime is 905724773. The reversal of 905724768 is 867427509.

905724768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (905724761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1585923 + ... + 1586493.

It is an arithmetic number, because the mean of its divisors is an integer number (14126112).

Almost surely, 2^905724768 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 905724768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356106752).

905724768 is an abundant number, since it is smaller than the sum of its proper divisors (1806488736).

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

905724768 is a wasteful number, since it uses less digits than its factorization.

905724768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 905724768 is about 30095.2615539390. The cubic root of 905724768 is about 967.5321715427.

The spelling of 905724768 in words is "nine hundred five million, seven hundred twenty-four thousand, seven hundred sixty-eight".