164276640 has 192 divisors, whose sum is σ = 627419520. Its totient is φ = 39813120.

The previous prime is 164276639. The next prime is 164276647. The reversal of 164276640 is 46672461.

164276640 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 7 + 6 + 640 = 666.

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 = 164276595 and 164276604.

It is not an unprimeable number, because it can be changed into a prime (164276647) 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, 45792 + ... + 49248.

It is an arithmetic number, because the mean of its divisors is an integer number (3267810).

Almost surely, 2^164276640 is an apocalyptic number.

164276640 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 164276640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313709760).

164276640 is an abundant number, since it is smaller than the sum of its proper divisors (463142880).

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

164276640 is a wasteful number, since it uses less digits than its factorization.

164276640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3492 (or 3478 counting only the distinct ones).

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

The square root of 164276640 is about 12817.0449012243. The cubic root of 164276640 is about 547.6779680402.

The spelling of 164276640 in words is "one hundred sixty-four million, two hundred seventy-six thousand, six hundred forty".