164640672 has 72 divisors (see below), whose sum is σ = 535088736. Its totient is φ = 47039616.

The previous prime is 164640653. The next prime is 164640683. The reversal of 164640672 is 276046461.

164640672 is a `hidden beast` number, since 1 + 6 + 4 + 640 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×164640672³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38818 + ... + 42849.

It is an arithmetic number, because the mean of its divisors is an integer number (7431788).

Almost surely, 2^164640672 is an apocalyptic number.

164640672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164640672 is an abundant number, since it is smaller than the sum of its proper divisors (370448064).

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

164640672 is a wasteful number, since it uses less digits than its factorization.

164640672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81690 (or 81679 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 164640672 is about 12831.2381319965. The cubic root of 164640672 is about 548.0822154517.

The spelling of 164640672 in words is "one hundred sixty-four million, six hundred forty thousand, six hundred seventy-two".