905918940 has 144 divisors (see below), whose sum is σ = 2891685888. Its totient is φ = 229122432.

The previous prime is 905918929. The next prime is 905918953. The reversal of 905918940 is 49819509.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524919 + ... + 526641.

It is an arithmetic number, because the mean of its divisors is an integer number (20081152).

Almost surely, 2^905918940 is an apocalyptic number.

905918940 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 905918940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445842944).

905918940 is an abundant number, since it is smaller than the sum of its proper divisors (1985766948).

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

905918940 is a wasteful number, since it uses less digits than its factorization.

905918940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 905918940 is about 30098.4873374062. The cubic root of 905918940 is about 967.6013074214.

The spelling of 905918940 in words is "nine hundred five million, nine hundred eighteen thousand, nine hundred forty".