10053640 has 32 divisors (see below), whose sum is σ = 23235480. Its totient is φ = 3912192.

The previous prime is 10053611. The next prime is 10053649. The reversal of 10053640 is 4635001.

It can be written as a sum of positive squares in 4 ways, for example, as 8031556 + 2022084 = 2834^2 + 1422^2 .

It is not an unprimeable number, because it can be changed into a prime (10053649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1917 + ... + 4876.

Almost surely, 2^10053640 is an apocalyptic number.

10053640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10053640 is an abundant number, since it is smaller than the sum of its proper divisors (13181840).

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

10053640 is a wasteful number, since it uses less digits than its factorization.

10053640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6841 (or 6837 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 10053640 is about 3170.7475459267. The cubic root of 10053640 is about 215.8279952103.

Adding to 10053640 its reverse (4635001), we get a palindrome (14688641).

It can be divided in two parts, 100536 and 40, that added together give a triangular number (100576 = T₄₄₈).

The spelling of 10053640 in words is "ten million, fifty-three thousand, six hundred forty".