900668340 has 216 divisors, whose sum is σ = 3234986664. Its totient is φ = 201484800.

The previous prime is 900668317. The next prime is 900668357. The reversal of 900668340 is 43866009.

It can be written as a sum of positive squares in 4 ways, for example, as 14653584 + 886014756 = 3828^2 + 29766^2 .

It is a super-2 number, since 2×900668340² = 1622406917356711200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 900668295 and 900668304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 281550 + ... + 284730.

Almost surely, 2^900668340 is an apocalyptic number.

900668340 is a gapful number since it is divisible by the number (90) 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 900668340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617493332).

900668340 is an abundant number, since it is smaller than the sum of its proper divisors (2334318324).

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

900668340 is a wasteful number, since it uses less digits than its factorization.

900668340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3231 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 900668340 is about 30011.1369328121. The cubic root of 900668340 is about 965.7283162775.

The spelling of 900668340 in words is "nine hundred million, six hundred sixty-eight thousand, three hundred forty".