12632620 has 96 divisors (see below), whose sum is σ = 35675136. Its totient is φ = 3628800.

The previous prime is 12632617. The next prime is 12632621. The reversal of 12632620 is 2623621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12632591 and 12632600.

It is not an unprimeable number, because it can be changed into a prime (12632621) 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, 19705 + ... + 20335.

It is an arithmetic number, because the mean of its divisors is an integer number (371616).

Almost surely, 2^12632620 is an apocalyptic number.

12632620 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 12632620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17837568).

12632620 is an abundant number, since it is smaller than the sum of its proper divisors (23042516).

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

12632620 is a wasteful number, since it uses less digits than its factorization.

12632620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 12632620 is about 3554.2397217971. The cubic root of 12632620 is about 232.8973127174.

It can be divided in two parts, 1263 and 2620, that added together give a palindrome (3883).

The spelling of 12632620 in words is "twelve million, six hundred thirty-two thousand, six hundred twenty".