164672640 has 384 divisors, whose sum is σ = 653028480. Its totient is φ = 37847040.

The previous prime is 164672623. The next prime is 164672653. The reversal of 164672640 is 46276461.

164672640 is a `hidden beast` number, since 1 + 6 + 4 + 6 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 164672595 and 164672604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1457224 + ... + 1457336.

It is an arithmetic number, because the mean of its divisors is an integer number (1700595).

Almost surely, 2^164672640 is an apocalyptic number.

164672640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326514240).

164672640 is an abundant number, since it is smaller than the sum of its proper divisors (488355840).

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

164672640 is a wasteful number, since it uses less digits than its factorization.

164672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 157 counting only the distinct ones).

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

The square root of 164672640 is about 12832.4837814041. The cubic root of 164672640 is about 548.1176865540.

The spelling of 164672640 in words is "one hundred sixty-four million, six hundred seventy-two thousand, six hundred forty".