900661680 has 200 divisors, whose sum is σ = 3154981104. Its totient is φ = 238118400.

The previous prime is 900661679. The next prime is 900661691. The reversal of 900661680 is 86166009.

It is a super-2 number, since 2×900661680² = 1622382923640844800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 848350 + ... + 849410.

Almost surely, 2^900661680 is an apocalyptic number.

900661680 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 900661680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577490552).

900661680 is an abundant number, since it is smaller than the sum of its proper divisors (2254319424).

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

900661680 is a wasteful number, since it uses less digits than its factorization.

900661680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1202 counting only the distinct ones).

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

The square root of 900661680 is about 30011.0259737984. The cubic root of 900661680 is about 965.7259359094.

The spelling of 900661680 in words is "nine hundred million, six hundred sixty-one thousand, six hundred eighty".