905142960 has 240 divisors, whose sum is σ = 3175511040. Its totient is φ = 230791680.

The previous prime is 905142923. The next prime is 905142977. The reversal of 905142960 is 69241509.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2388051 + ... + 2388429.

It is an arithmetic number, because the mean of its divisors is an integer number (13231296).

Almost surely, 2^905142960 is an apocalyptic number.

905142960 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 905142960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587755520).

905142960 is an abundant number, since it is smaller than the sum of its proper divisors (2270368080).

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

905142960 is a wasteful number, since it uses less digits than its factorization.

905142960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 905142960 is about 30085.5938947530. The cubic root of 905142960 is about 967.3249568148.

The spelling of 905142960 in words is "nine hundred five million, one hundred forty-two thousand, nine hundred sixty".