165564000 has 480 divisors, whose sum is σ = 703999296. Its totient is φ = 37324800.

The previous prime is 165563999. The next prime is 165564017. The reversal of 165564000 is 465561.

It is a happy number.

165564000 is a `hidden beast` number, since 1 + 655 + 6 + 4 + 0 + 0 + 0 = 666.

165564000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×165564000² = 54822876192000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2267964 + ... + 2268036.

Almost surely, 2^165564000 is an apocalyptic number.

165564000 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 165564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351999648).

165564000 is an abundant number, since it is smaller than the sum of its proper divisors (538435296).

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

165564000 is an equidigital number, since it uses as much as digits as its factorization.

165564000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 165564000 is about 12867.1675204763. The cubic root of 165564000 is about 549.1048800791.

The spelling of 165564000 in words is "one hundred sixty-five million, five hundred sixty-four thousand".