10645632 has 48 divisors (see below), whose sum is σ = 30637230. Its totient is φ = 3548160.

The previous prime is 10645597. The next prime is 10645637. The reversal of 10645632 is 23654601.

10645632 is a `hidden beast` number, since 10 + 645 + 6 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5875776 + 4769856 = 2424^2 + 2184^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10645632² = 226658961358848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10645596 and 10645605.

It is not an unprimeable number, because it can be changed into a prime (10645637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3469 + ... + 5772.

Almost surely, 2^10645632 is an apocalyptic number.

10645632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10645632 is an abundant number, since it is smaller than the sum of its proper divisors (19991598).

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

10645632 is an equidigital number, since it uses as much as digits as its factorization.

10645632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9261 (or 9246 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 10645632 is about 3262.7644720390. The cubic root of 10645632 is about 219.9836902510.

The spelling of 10645632 in words is "ten million, six hundred forty-five thousand, six hundred thirty-two".