201188640 has 96 divisors (see below), whose sum is σ = 649264896. Its totient is φ = 52336640.

The previous prime is 201188633. The next prime is 201188641. The reversal of 201188640 is 46881102.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 201188598 and 201188607.

It is not an unprimeable number, because it can be changed into a prime (201188641) 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, 14569 + ... + 24791.

It is an arithmetic number, because the mean of its divisors is an integer number (6763176).

Almost surely, 2^201188640 is an apocalyptic number.

201188640 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 201188640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324632448).

201188640 is an abundant number, since it is smaller than the sum of its proper divisors (448076256).

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

201188640 is a wasteful number, since it uses less digits than its factorization.

201188640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10282 (or 10274 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 201188640 is about 14184.0981384084. The cubic root of 201188640 is about 585.9597948708.

The spelling of 201188640 in words is "two hundred one million, one hundred eighty-eight thousand, six hundred forty".