201676880 has 80 divisors (see below), whose sum is σ = 500860800. Its totient is φ = 75339264.

The previous prime is 201676877. The next prime is 201676883. The reversal of 201676880 is 88676102.

It is an interprime number because it is at equal distance from previous prime (201676877) and next prime (201676883).

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 (201676883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77846 + ... + 80394.

It is an arithmetic number, because the mean of its divisors is an integer number (6260760).

Almost surely, 2^201676880 is an apocalyptic number.

201676880 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 201676880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250430400).

201676880 is an abundant number, since it is smaller than the sum of its proper divisors (299183920).

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

201676880 is a wasteful number, since it uses less digits than its factorization.

201676880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 201676880 is about 14201.2985321766. The cubic root of 201676880 is about 586.4334099102.

The spelling of 201676880 in words is "two hundred one million, six hundred seventy-six thousand, eight hundred eighty".