164406528 has 216 divisors, whose sum is σ = 558012000. Its totient is φ = 45895680.

The previous prime is 164406523. The next prime is 164406551. The reversal of 164406528 is 825604461.

164406528 is a `hidden beast` number, since 1 + 644 + 0 + 6 + 5 + 2 + 8 = 666.

It is a super-3 number, since 3×164406528³ (a number of 26 digits) contains 333 as substring.

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 = 164406492 and 164406501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164406521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329223 + ... + 329721.

Almost surely, 2^164406528 is an apocalyptic number.

164406528 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 164406528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279006000).

164406528 is an abundant number, since it is smaller than the sum of its proper divisors (393605472).

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

164406528 is a wasteful number, since it uses less digits than its factorization.

164406528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 528 counting only the distinct ones).

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

The square root of 164406528 is about 12822.1109026556. The cubic root of 164406528 is about 547.8222735151.

The spelling of 164406528 in words is "one hundred sixty-four million, four hundred six thousand, five hundred twenty-eight".