201166464 has 64 divisors (see below), whose sum is σ = 557605440. Its totient is φ = 64137216.

The previous prime is 201166463. The next prime is 201166481. The reversal of 201166464 is 464661102.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (201166463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2557 + ... + 20220.

It is an arithmetic number, because the mean of its divisors is an integer number (8712585).

Almost surely, 2^201166464 is an apocalyptic number.

201166464 is a gapful number since it is divisible by the number (24) 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 201166464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278802720).

201166464 is an abundant number, since it is smaller than the sum of its proper divisors (356438976).

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

201166464 is a wasteful number, since it uses less digits than its factorization.

201166464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22817 (or 22805 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 201166464 is about 14183.3163963863. The cubic root of 201166464 is about 585.9382649576.

The spelling of 201166464 in words is "two hundred one million, one hundred sixty-six thousand, four hundred sixty-four".