201685680 has 160 divisors (see below), whose sum is σ = 793996800. Its totient is φ = 46096128.

The previous prime is 201685667. The next prime is 201685681. The reversal of 201685680 is 86586102.

It is a happy number.

It is a super-2 number, since 2×201685680² = 81354227034124800, which contains 22 as substring.

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

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

It is not an unprimeable number, because it can be changed into a prime (201685681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8451 + ... + 21789.

It is an arithmetic number, because the mean of its divisors is an integer number (4962480).

Almost surely, 2^201685680 is an apocalyptic number.

201685680 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 201685680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396998400).

201685680 is an abundant number, since it is smaller than the sum of its proper divisors (592311120).

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

201685680 is a wasteful number, since it uses less digits than its factorization.

201685680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13368 (or 13356 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 201685680 is about 14201.6083596190. The cubic root of 201685680 is about 586.4419392947.

The spelling of 201685680 in words is "two hundred one million, six hundred eighty-five thousand, six hundred eighty".