10638640 has 40 divisors (see below), whose sum is σ = 25096608. Its totient is φ = 4193280.

The previous prime is 10638631. The next prime is 10638697. The reversal of 10638640 is 4683601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10638640² = 226361322099200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10638599 and 10638608.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4744 + ... + 6616.

Almost surely, 2^10638640 is an apocalyptic number.

10638640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10638640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12548304).

10638640 is an abundant number, since it is smaller than the sum of its proper divisors (14457968).

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

10638640 is a wasteful number, since it uses less digits than its factorization.

10638640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 10638640 is about 3261.6928120226. The cubic root of 10638640 is about 219.9355182924.

The spelling of 10638640 in words is "ten million, six hundred thirty-eight thousand, six hundred forty".