201164580 has 192 divisors, whose sum is σ = 659957760. Its totient is φ = 50803200.

The previous prime is 201164563. The next prime is 201164591. The reversal of 201164580 is 85461102.

201164580 is a `hidden beast` number, since 2 + 0 + 11 + 645 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1021042 + ... + 1021238.

It is an arithmetic number, because the mean of its divisors is an integer number (3437280).

Almost surely, 2^201164580 is an apocalyptic number.

201164580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

201164580 is the 7092-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201164580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329978880).

201164580 is an abundant number, since it is smaller than the sum of its proper divisors (458793180).

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

201164580 is a wasteful number, since it uses less digits than its factorization.

201164580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 201164580 is about 14183.2499801703. The cubic root of 201164580 is about 585.9364357741.

The spelling of 201164580 in words is "two hundred one million, one hundred sixty-four thousand, five hundred eighty".