905148 has 72 divisors (see below), whose sum is σ = 2578800. Its totient is φ = 274176.

The previous prime is 905147. The next prime is 905161. The reversal of 905148 is 841509.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (905143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31198 + ... + 31226.

2⁹⁰⁵¹⁴⁸ 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 905148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289400).

905148 is an abundant number, since it is smaller than the sum of its proper divisors (1673652).

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

905148 is a wasteful number, since it uses less digits than its factorization.

905148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 905148 is about 951.3926634151. The cubic root of 905148 is about 96.7326752225.

The spelling of 905148 in words is "nine hundred five thousand, one hundred forty-eight".