905795040 has 96 divisors (see below), whose sum is σ = 2889492480. Its totient is φ = 238477824.

The previous prime is 905795027. The next prime is 905795041. The reversal of 905795040 is 40597509.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 905795040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (905795041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25977 + ... + 49863.

It is an arithmetic number, because the mean of its divisors is an integer number (30098880).

Almost surely, 2^905795040 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 905795040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444746240).

905795040 is an abundant number, since it is smaller than the sum of its proper divisors (1983697440).

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

905795040 is a wasteful number, since it uses less digits than its factorization.

905795040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23984 (or 23976 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 905795040 is about 30096.4290240553. The cubic root of 905795040 is about 967.5571933686.

The spelling of 905795040 in words is "nine hundred five million, seven hundred ninety-five thousand, forty".