164120634 has 32 divisors (see below), whose sum is σ = 376481280. Its totient is φ = 52941600.

The previous prime is 164120633. The next prime is 164120639. The reversal of 164120634 is 436021461.

164120634 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 20 + 634 = 666.

It is a super-3 number, since 3×164120634³ (a number of 26 digits) contains 333 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 164120598 and 164120607.

It is not an unprimeable number, because it can be changed into a prime (164120633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47347 + ... + 50694.

It is an arithmetic number, because the mean of its divisors is an integer number (11765040).

Almost surely, 2^164120634 is an apocalyptic number.

164120634 is an abundant number, since it is smaller than the sum of its proper divisors (212360646).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164120634 is a wasteful number, since it uses less digits than its factorization.

164120634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98083 (or 98077 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 164120634 is about 12810.9575754508. The cubic root of 164120634 is about 547.5045449050.

The spelling of 164120634 in words is "one hundred sixty-four million, one hundred twenty thousand, six hundred thirty-four".