900605610 has 48 divisors (see below), whose sum is σ = 2369805984. Its totient is φ = 237266016.

The previous prime is 900605597. The next prime is 900605611. The reversal of 900605610 is 16506009.

It is a super-2 number, since 2×900605610² = 1622180929526944200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (900605611) 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, 52812 + ... + 67751.

It is an arithmetic number, because the mean of its divisors is an integer number (49370958).

Almost surely, 2^900605610 is an apocalyptic number.

900605610 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

900605610 is an abundant number, since it is smaller than the sum of its proper divisors (1469200374).

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

900605610 is a wasteful number, since it uses less digits than its factorization.

900605610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120659 (or 120656 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 900605610 is about 30010.0918025920. The cubic root of 900605610 is about 965.7058953185.

The spelling of 900605610 in words is "nine hundred million, six hundred five thousand, six hundred ten".