900061008 has 240 divisors, whose sum is σ = 3107658240. Its totient is φ = 221356800.

The previous prime is 900060991. The next prime is 900061009. The reversal of 900061008 is 800160009.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900061009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 490653 + ... + 492483.

It is an arithmetic number, because the mean of its divisors is an integer number (12948576).

Almost surely, 2^900061008 is an apocalyptic number.

900061008 is a gapful number since it is divisible by the number (98) 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 900061008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553829120).

900061008 is an abundant number, since it is smaller than the sum of its proper divisors (2207597232).

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

900061008 is a wasteful number, since it uses less digits than its factorization.

900061008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 900061008 is about 30001.0167827692. The cubic root of 900061008 is about 965.5111998817.

Subtracting from 900061008 its reverse (800160009), we obtain a palindrome (99900999).

The spelling of 900061008 in words is "nine hundred million, sixty-one thousand, eight".