10632580 has 48 divisors (see below), whose sum is σ = 25724160. Its totient is φ = 3616128.

The previous prime is 10632569. The next prime is 10632581. The reversal of 10632580 is 8523601.

It is a happy number.

It is a super-2 number, since 2×10632580² = 226103514912800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10632581) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24001 + ... + 24439.

It is an arithmetic number, because the mean of its divisors is an integer number (535920).

Almost surely, 2^10632580 is an apocalyptic number.

10632580 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 10632580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12862080).

10632580 is an abundant number, since it is smaller than the sum of its proper divisors (15091580).

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

10632580 is a wasteful number, since it uses less digits than its factorization.

10632580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 10632580 is about 3260.7637142240. The cubic root of 10632580 is about 219.8937503476.

The spelling of 10632580 in words is "ten million, six hundred thirty-two thousand, five hundred eighty".