201164940 has 72 divisors (see below), whose sum is σ = 611851968. Its totient is φ = 53498880.

The previous prime is 201164933. The next prime is 201164959. The reversal of 201164940 is 49461102.

201164940 is a `hidden beast` number, since 2 + 0 + 11 + 649 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76284 + ... + 78876.

It is an arithmetic number, because the mean of its divisors is an integer number (8497944).

Almost surely, 2^201164940 is an apocalyptic number.

201164940 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 201164940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305925984).

201164940 is an abundant number, since it is smaller than the sum of its proper divisors (410687028).

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

201164940 is a wasteful number, since it uses less digits than its factorization.

201164940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 201164940 is about 14183.2626711910. The cubic root of 201164940 is about 585.9367853005.

The spelling of 201164940 in words is "two hundred one million, one hundred sixty-four thousand, nine hundred forty".