1661406175 has 48 divisors (see below), whose sum is σ = 2562773472. Its totient is φ = 1049702400.

The previous prime is 1661406121. The next prime is 1661406199. The reversal of 1661406175 is 5716041661.

It is not a de Polignac number, because 1661406175 - 2¹⁵ = 1661373407 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47107 + ... + 74443.

It is an arithmetic number, because the mean of its divisors is an integer number (53391114).

Almost surely, 2^1661406175 is an apocalyptic number.

1661406175 is a deficient number, since it is larger than the sum of its proper divisors (901367297).

1661406175 is a wasteful number, since it uses less digits than its factorization.

1661406175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27388 (or 27383 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 1661406175 is about 40760.3505259707. The cubic root of 1661406175 is about 1184.3823862967.

The spelling of 1661406175 in words is "one billion, six hundred sixty-one million, four hundred six thousand, one hundred seventy-five".