36461601 has 48 divisors (see below), whose sum is σ = 61102080. Its totient is φ = 20734560.

The previous prime is 36461599. The next prime is 36461629. The reversal of 36461601 is 10616463.

36461601 is a `hidden beast` number, since 3 + 646 + 16 + 0 + 1 = 666.

It is not a de Polignac number, because 36461601 - 2¹ = 36461599 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36461681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152440 + ... + 152678.

It is an arithmetic number, because the mean of its divisors is an integer number (1272960).

Almost surely, 2^36461601 is an apocalyptic number.

It is an amenable number.

36461601 is a deficient number, since it is larger than the sum of its proper divisors (24640479).

36461601 is a wasteful number, since it uses less digits than its factorization.

36461601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 36461601 is about 6038.3442266900. The cubic root of 36461601 is about 331.5980068250.

The spelling of 36461601 in words is "thirty-six million, four hundred sixty-one thousand, six hundred one".