164972040 has 64 divisors (see below), whose sum is σ = 504273600. Its totient is φ = 43160832.

The previous prime is 164971997. The next prime is 164972047. The reversal of 164972040 is 40279461.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 164971992 and 164972010.

It is not an unprimeable number, because it can be changed into a prime (164972047) 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, 6610 + ... + 19329.

It is an arithmetic number, because the mean of its divisors is an integer number (7879275).

Almost surely, 2^164972040 is an apocalyptic number.

164972040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164972040 is an abundant number, since it is smaller than the sum of its proper divisors (339301560).

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

164972040 is a wasteful number, since it uses less digits than its factorization.

164972040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26006 (or 26002 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 164972040 is about 12844.1441910312. The cubic root of 164972040 is about 548.4496726464.

The spelling of 164972040 in words is "one hundred sixty-four million, nine hundred seventy-two thousand, forty".