15630 has 16 divisors (see below), whose sum is σ = 37584. Its totient is φ = 4160.

The previous prime is 15629. The next prime is 15641. The reversal of 15630 is 3651.

15630 = 61² + 62² + ... + 64².

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231 + ... + 290.

It is an arithmetic number, because the mean of its divisors is an integer number (2349).

2¹⁵⁶³⁰ is an apocalyptic number.

15630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15630 is an abundant number, since it is smaller than the sum of its proper divisors (21954).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18792).

15630 is a wasteful number, since it uses less digits than its factorization.

15630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531.

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

The square root of 15630 is about 125.0199984003. The cubic root of 15630 is about 25.0026663823.

The spelling of 15630 in words is "fifteen thousand, six hundred thirty".