900866610 has 192 divisors, whose sum is σ = 2800272384. Its totient is φ = 204120000.

The previous prime is 900866609. The next prime is 900866621. The reversal of 900866610 is 16668009.

It is a super-4 number, since 4×900866610⁴ (a number of 37 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3588985 + ... + 3589235.

It is an arithmetic number, because the mean of its divisors is an integer number (14584752).

Almost surely, 2^900866610 is an apocalyptic number.

900866610 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 900866610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400136192).

900866610 is an abundant number, since it is smaller than the sum of its proper divisors (1899405774).

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

900866610 is a wasteful number, since it uses less digits than its factorization.

900866610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 900866610 is about 30014.4400247614. The cubic root of 900866610 is about 965.7991751040.

The spelling of 900866610 in words is "nine hundred million, eight hundred sixty-six thousand, six hundred ten".