164625408 has 66 divisors (see below), whose sum is σ = 475378904. Its totient is φ = 54872064.

The previous prime is 164625403. The next prime is 164625509. The reversal of 164625408 is 804526461.

164625408 is a `hidden beast` number, since 1 + 646 + 2 + 5 + 4 + 0 + 8 = 666.

164625408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164625403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 285 + ... + 18147.

Almost surely, 2^164625408 is an apocalyptic number.

164625408 is a gapful number since it is divisible by the number (18) 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 164625408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237689452).

164625408 is an abundant number, since it is smaller than the sum of its proper divisors (310753496).

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

164625408 is a wasteful number, since it uses less digits than its factorization.

164625408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17889 (or 17868 counting only the distinct ones).

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

The square root of 164625408 is about 12830.6433198028. The cubic root of 164625408 is about 548.0652771796.

The spelling of 164625408 in words is "one hundred sixty-four million, six hundred twenty-five thousand, four hundred eight".