201678160 has 80 divisors (see below), whose sum is σ = 496396800. Its totient is φ = 75990528.

The previous prime is 201678149. The next prime is 201678161. The reversal of 201678160 is 61876102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201678161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420801 + ... + 421279.

It is an arithmetic number, because the mean of its divisors is an integer number (6204960).

Almost surely, 2^201678160 is an apocalyptic number.

201678160 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 201678160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248198400).

201678160 is an abundant number, since it is smaller than the sum of its proper divisors (294718640).

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

201678160 is a wasteful number, since it uses less digits than its factorization.

201678160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 201678160 is about 14201.3435984065. The cubic root of 201678160 is about 586.4346505634.

The spelling of 201678160 in words is "two hundred one million, six hundred seventy-eight thousand, one hundred sixty".