153360 has 80 divisors (see below), whose sum is σ = 535680. Its totient is φ = 40320.

The previous prime is 153359. The next prime is 153371. The reversal of 153360 is 63351.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (18) 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 (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 153360.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2125 + ... + 2195.

It is an arithmetic number, because the mean of its divisors is an integer number (6696).

2¹⁵³³⁶⁰ is an apocalyptic number.

153360 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 153360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267840).

153360 is an abundant number, since it is smaller than the sum of its proper divisors (382320).

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

153360 is a wasteful number, since it uses less digits than its factorization.

153360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 153360 is about 391.6120529299. The cubic root of 153360 is about 53.5267284267.

Subtracting from 153360 its reverse (63351), we obtain a palindrome (90009).

It can be divided in two parts, 15 and 3360, that added together give a cube (3375 = 15³).

The spelling of 153360 in words is "one hundred fifty-three thousand, three hundred sixty".