10013640 has 192 divisors, whose sum is σ = 37920960. Its totient is φ = 2096640.

The previous prime is 10013639. The next prime is 10013659. The reversal of 10013640 is 4631001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76375 + ... + 76505.

It is an arithmetic number, because the mean of its divisors is an integer number (197505).

Almost surely, 2^10013640 is an apocalyptic number.

10013640 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 10013640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18960480).

10013640 is an abundant number, since it is smaller than the sum of its proper divisors (27907320).

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

10013640 is a wasteful number, since it uses less digits than its factorization.

10013640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 10013640 is about 3164.4335986081. The cubic root of 10013640 is about 215.5413794640.

Adding to 10013640 its reverse (4631001), we get a palindrome (14644641).

The spelling of 10013640 in words is "ten million, thirteen thousand, six hundred forty".