153630 has 32 divisors (see below), whose sum is σ = 410400. Its totient is φ = 40896.

The previous prime is 153623. The next prime is 153641. The reversal of 153630 is 36351.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a Curzon number.

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 153630.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15 + ... + 554.

It is an arithmetic number, because the mean of its divisors is an integer number (12825).

2¹⁵³⁶³⁰ is an apocalyptic number.

153630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 153630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205200).

153630 is an abundant number, since it is smaller than the sum of its proper divisors (256770).

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

153630 is a wasteful number, since it uses less digits than its factorization.

153630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 579 counting only the distinct ones).

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

The square root of 153630 is about 391.9566302539. The cubic root of 153630 is about 53.5581224096.

Adding to 153630 its reverse (36351), we get a palindrome (189981).

The spelling of 153630 in words is "one hundred fifty-three thousand, six hundred thirty".