10638673 has 16 divisors (see below), whose sum is σ = 11759616. Its totient is φ = 9591120.

The previous prime is 10638631. The next prime is 10638697. The reversal of 10638673 is 37683601.

It is a cyclic number.

It is not a de Polignac number, because 10638673 - 2⁹ = 10638161 is a prime.

It is a super-2 number, since 2×10638673² = 226362726401858, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10638473) 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, 30486 + ... + 30832.

It is an arithmetic number, because the mean of its divisors is an integer number (734976).

Almost surely, 2^10638673 is an apocalyptic number.

It is an amenable number.

10638673 is a deficient number, since it is larger than the sum of its proper divisors (1120943).

10638673 is a wasteful number, since it uses less digits than its factorization.

10638673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444.

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 10638673 is about 3261.6978707416. The cubic root of 10638673 is about 219.9357456982.

It can be divided in two parts, 1063867 and 3, that multiplied together give a triangular number (3191601 = T₂₅₂₆).

The spelling of 10638673 in words is "ten million, six hundred thirty-eight thousand, six hundred seventy-three".