10638416 has 20 divisors (see below), whose sum is σ = 20683572. Its totient is φ = 5300736.

The previous prime is 10638391. The next prime is 10638421. The reversal of 10638416 is 61483601.

It can be written as a sum of positive squares in 2 ways, for example, as 2572816 + 8065600 = 1604^2 + 2840^2 .

It is a super-2 number, since 2×10638416² = 226351789978112, which contains 22 as substring.

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, 4406 + ... + 6378.

Almost surely, 2^10638416 is an apocalyptic number.

10638416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10638416 is a deficient number, since it is larger than the sum of its proper divisors (10045156).

10638416 is a wasteful number, since it uses less digits than its factorization.

10638416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318 (or 2312 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 10638416 is about 3261.6584738442. The cubic root of 10638416 is about 219.9339746771.

The spelling of 10638416 in words is "ten million, six hundred thirty-eight thousand, four hundred sixteen".