10385632 has 24 divisors (see below), whose sum is σ = 20519352. Its totient is φ = 5174400.

The previous prime is 10385621. The next prime is 10385659. The reversal of 10385632 is 23658301.

10385632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10385632² = 215722704078848, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 10385632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15382 + ... + 16042.

It is an arithmetic number, because the mean of its divisors is an integer number (854973).

Almost surely, 2^10385632 is an apocalyptic number.

It is an amenable number.

10385632 is a deficient number, since it is larger than the sum of its proper divisors (10133720).

10385632 is an equidigital number, since it uses as much as digits as its factorization.

10385632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 10385632 is about 3222.6746655534. The cubic root of 10385632 is about 218.1780102029.

It can be divided in two parts, 1038 and 5632, that added together give a triangular number (6670 = T₁₁₅).

The spelling of 10385632 in words is "ten million, three hundred eighty-five thousand, six hundred thirty-two".