90166349 has 16 divisors (see below), whose sum is σ = 111216000. Its totient is φ = 71184960.

The previous prime is 90166333. The next prime is 90166361. The reversal of 90166349 is 94366109.

It is not a de Polignac number, because 90166349 - 2⁴ = 90166333 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90166369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59402 + ... + 60900.

It is an arithmetic number, because the mean of its divisors is an integer number (6951000).

Almost surely, 2^90166349 is an apocalyptic number.

It is an amenable number.

90166349 is a deficient number, since it is larger than the sum of its proper divisors (21049651).

90166349 is a wasteful number, since it uses less digits than its factorization.

90166349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180.

The product of its (nonzero) digits is 34992, while the sum is 38.

The square root of 90166349 is about 9495.5962951254. The cubic root of 90166349 is about 448.4164073873.

The spelling of 90166349 in words is "ninety million, one hundred sixty-six thousand, three hundred forty-nine".