201682560 has 256 divisors, whose sum is σ = 703261440. Its totient is φ = 48955392.

The previous prime is 201682553. The next prime is 201682573. The reversal of 201682560 is 65286102.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1207597 + ... + 1207763.

It is an arithmetic number, because the mean of its divisors is an integer number (2747115).

Almost surely, 2^201682560 is an apocalyptic number.

201682560 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 201682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351630720).

201682560 is an abundant number, since it is smaller than the sum of its proper divisors (501578880).

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

201682560 is a wasteful number, since it uses less digits than its factorization.

201682560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 201682560 is about 14201.4985124810. The cubic root of 201682560 is about 586.4389152686.

The spelling of 201682560 in words is "two hundred one million, six hundred eighty-two thousand, five hundred sixty".