201832680 has 128 divisors (see below), whose sum is σ = 695566080. Its totient is φ = 45895680.

The previous prime is 201832651. The next prime is 201832717. The reversal of 201832680 is 86238102.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 201942 + ... + 202938.

It is an arithmetic number, because the mean of its divisors is an integer number (5434110).

Almost surely, 2^201832680 is an apocalyptic number.

201832680 is a gapful number since it is divisible by the number (20) 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 201832680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347783040).

201832680 is an abundant number, since it is smaller than the sum of its proper divisors (493733400).

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

201832680 is a wasteful number, since it uses less digits than its factorization.

201832680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 201832680 is about 14206.7828870579. The cubic root of 201832680 is about 586.5843821119.

The spelling of 201832680 in words is "two hundred one million, eight hundred thirty-two thousand, six hundred eighty".