201793680 has 400 divisors, whose sum is σ = 810216000. Its totient is φ = 46033920.

The previous prime is 201793679. The next prime is 201793717. The reversal of 201793680 is 86397102.

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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1354246 + ... + 1354394.

It is an arithmetic number, because the mean of its divisors is an integer number (2025540).

Almost surely, 2^201793680 is an apocalyptic number.

201793680 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 201793680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405108000).

201793680 is an abundant number, since it is smaller than the sum of its proper divisors (608422320).

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

201793680 is a wasteful number, since it uses less digits than its factorization.

201793680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 201793680 is about 14205.4102369485. The cubic root of 201793680 is about 586.5465979028.

It can be divided in two parts, 201 and 793680, that added together give a square (793881 = 891²).

The spelling of 201793680 in words is "two hundred one million, seven hundred ninety-three thousand, six hundred eighty".