153846 has 64 divisors (see below), whose sum is σ = 437760. Its totient is φ = 38880.

The previous prime is 153841. The next prime is 153871. The reversal of 153846 is 648351.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2880) is a multiple of the sum of its prime divisors (60).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4140 + ... + 4176.

It is an arithmetic number, because the mean of its divisors is an integer number (6840).

2¹⁵³⁸⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218880).

153846 is an abundant number, since it is smaller than the sum of its proper divisors (283914).

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

153846 is a wasteful number, since it uses less digits than its factorization.

153846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 60 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 153846 is about 392.2320741602. The cubic root of 153846 is about 53.5832111226.

It can be divided in two parts, 153 and 846, that added together give a palindrome (999).

The spelling of 153846 in words is "one hundred fifty-three thousand, eight hundred forty-six".