164120607 has 32 divisors (see below), whose sum is σ = 278553600. Its totient is φ = 93554784.

The previous prime is 164120597. The next prime is 164120623. The reversal of 164120607 is 706021461.

164120607 is a `hidden beast` number, since 16 + 41 + 2 + 0 + 607 = 666.

It is not a de Polignac number, because 164120607 - 2¹⁴ = 164104223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164120647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104494 + ... + 106052.

It is an arithmetic number, because the mean of its divisors is an integer number (8704800).

Almost surely, 2^164120607 is an apocalyptic number.

164120607 is a deficient number, since it is larger than the sum of its proper divisors (114432993).

164120607 is a wasteful number, since it uses less digits than its factorization.

164120607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 164120607 is about 12810.9565216654. The cubic root of 164120607 is about 547.5045148811.

The spelling of 164120607 in words is "one hundred sixty-four million, one hundred twenty thousand, six hundred seven".