153600 has 72 divisors (see below), whose sum is σ = 507780. Its totient is φ = 40960.

The previous prime is 153589. The next prime is 153607. The reversal of 153600 is 6351.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 153600.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 153600.

It is not an unprimeable number, because it can be changed into a prime (153607) 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, 30718 + ... + 30722.

2¹⁵³⁶⁰⁰ is an apocalyptic number.

153600 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 153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253890).

153600 is an abundant number, since it is smaller than the sum of its proper divisors (354180).

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

153600 is an equidigital number, since it uses as much as digits as its factorization.

153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 153600 is about 391.9183588453. The cubic root of 153600 is about 53.5546360066.

Multiplying 153600 by its product of nonzero digits (90), we get a cube (13824000 = 240³).

Adding to 153600 its reverse (6351), we get a palindrome (159951).

The spelling of 153600 in words is "one hundred fifty-three thousand, six hundred".