900148560 has 160 divisors (see below), whose sum is σ = 2951477760. Its totient is φ = 226312704.

The previous prime is 900148549. The next prime is 900148567. The reversal of 900148560 is 65841009.

900148560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900148567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1399599 + ... + 1400241.

It is an arithmetic number, because the mean of its divisors is an integer number (18446736).

Almost surely, 2^900148560 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 900148560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475738880).

900148560 is an abundant number, since it is smaller than the sum of its proper divisors (2051329200).

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

900148560 is a wasteful number, since it uses less digits than its factorization.

900148560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 900148560 is about 30002.4758978322. The cubic root of 900148560 is about 965.5425050544.

Adding to 900148560 its reverse (65841009), we get a palindrome (965989569).

The spelling of 900148560 in words is "nine hundred million, one hundred forty-eight thousand, five hundred sixty".