10638461 has 16 divisors (see below), whose sum is σ = 11636160. Its totient is φ = 9694080.

The previous prime is 10638457. The next prime is 10638473. The reversal of 10638461 is 16483601.

10638461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10638461 - 2² = 10638457 is a prime.

It is a super-2 number, since 2×10638461² = 226353704897042, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10638421) 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, 77585 + ... + 77721.

It is an arithmetic number, because the mean of its divisors is an integer number (727260).

Almost surely, 2^10638461 is an apocalyptic number.

It is an amenable number.

10638461 is a deficient number, since it is larger than the sum of its proper divisors (997699).

10638461 is a wasteful number, since it uses less digits than its factorization.

10638461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284.

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

The square root of 10638461 is about 3261.6653721680. The cubic root of 10638461 is about 219.9342847802.

The spelling of 10638461 in words is "ten million, six hundred thirty-eight thousand, four hundred sixty-one".