10672632 has 48 divisors (see below), whose sum is σ = 29076840. Its totient is φ = 3536448.

The previous prime is 10672603. The next prime is 10672633. The reversal of 10672632 is 23627601.

It is a happy number.

It is a super-2 number, since 2×10672632² = 227810147614848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10672596 and 10672605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10672633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16018 + ... + 16670.

Almost surely, 2^10672632 is an apocalyptic number.

10672632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10672632 is an abundant number, since it is smaller than the sum of its proper divisors (18404208).

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

10672632 is a wasteful number, since it uses less digits than its factorization.

10672632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 10672632 is about 3266.8994474884. The cubic root of 10672632 is about 220.1695112304.

The spelling of 10672632 in words is "ten million, six hundred seventy-two thousand, six hundred thirty-two".