201186640 has 40 divisors (see below), whose sum is σ = 468360648. Its totient is φ = 80371200.

The previous prime is 201186599. The next prime is 201186673. The reversal of 201186640 is 46681102.

It can be written as a sum of positive squares in 4 ways, for example, as 341056 + 200845584 = 584^2 + 14172^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×201186640² = 80952128228979200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 201186599 and 201186608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103114 + ... + 105046.

Almost surely, 2^201186640 is an apocalyptic number.

201186640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201186640 is an abundant number, since it is smaller than the sum of its proper divisors (267174008).

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

201186640 is a wasteful number, since it uses less digits than its factorization.

201186640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3247 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 201186640 is about 14184.0276367469. The cubic root of 201186640 is about 585.9578532047.

The spelling of 201186640 in words is "two hundred one million, one hundred eighty-six thousand, six hundred forty".