164258640 has 480 divisors, whose sum is σ = 714954240. Its totient is φ = 32845824.

The previous prime is 164258609. The next prime is 164258657. The reversal of 164258640 is 46852461.

164258640 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 5 + 8 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 164258595 and 164258604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1506906 + ... + 1507014.

It is an arithmetic number, because the mean of its divisors is an integer number (1489488).

Almost surely, 2^164258640 is an apocalyptic number.

164258640 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 164258640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357477120).

164258640 is an abundant number, since it is smaller than the sum of its proper divisors (550695600).

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

164258640 is a wasteful number, since it uses less digits than its factorization.

164258640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 164258640 is about 12816.3426920475. The cubic root of 164258640 is about 547.6579640528.

The spelling of 164258640 in words is "one hundred sixty-four million, two hundred fifty-eight thousand, six hundred forty".