164088407 has 12 divisors (see below), whose sum is σ = 191878416. Its totient is φ = 139910400.

The previous prime is 164088383. The next prime is 164088413. The reversal of 164088407 is 704880461.

It is not a de Polignac number, because 164088407 - 2⁶ = 164088343 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164088907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 782 + ... + 18132.

It is an arithmetic number, because the mean of its divisors is an integer number (15989868).

Almost surely, 2^164088407 is an apocalyptic number.

164088407 is a deficient number, since it is larger than the sum of its proper divisors (27790009).

164088407 is a wasteful number, since it uses less digits than its factorization.

164088407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17558 (or 17551 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 164088407 is about 12809.6997232566. The cubic root of 164088407 is about 547.4687062589.

The spelling of 164088407 in words is "one hundred sixty-four million, eighty-eight thousand, four hundred seven".