165464000 has 224 divisors, whose sum is σ = 463759296. Its totient is φ = 58060800.

The previous prime is 165463997. The next prime is 165464021. The reversal of 165464000 is 464561.

It is a happy number.

165464000 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 (26).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 165464000 = 200³ + 540³ = 380³ + 480³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3847979 + ... + 3848021.

It is an arithmetic number, because the mean of its divisors is an integer number (2070354).

Almost surely, 2^165464000 is an apocalyptic number.

165464000 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 165464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231879648).

165464000 is an abundant number, since it is smaller than the sum of its proper divisors (298295296).

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

165464000 is a wasteful number, since it uses less digits than its factorization.

165464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 165464000 is about 12863.2810744382. The cubic root of 165464000 is about 548.9943054232.

The spelling of 165464000 in words is "one hundred sixty-five million, four hundred sixty-four thousand".