905928816 has 160 divisors (see below), whose sum is σ = 2716215040. Its totient is φ = 257789952.

The previous prime is 905928811. The next prime is 905928823. The reversal of 905928816 is 618829509.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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 (905928811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508920 + ... + 510696.

It is an arithmetic number, because the mean of its divisors is an integer number (16976344).

Almost surely, 2^905928816 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 905928816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358107520).

905928816 is an abundant number, since it is smaller than the sum of its proper divisors (1810286224).

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

905928816 is a wasteful number, since it uses less digits than its factorization.

905928816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The square root of 905928816 is about 30098.6513983600. The cubic root of 905928816 is about 967.6048235549.

The spelling of 905928816 in words is "nine hundred five million, nine hundred twenty-eight thousand, eight hundred sixteen".