10362640 has 20 divisors (see below), whose sum is σ = 24093324. Its totient is φ = 4145024.

The previous prime is 10362637. The next prime is 10362641. The reversal of 10362640 is 4626301.

It can be written as a sum of positive squares in 2 ways, for example, as 7376656 + 2985984 = 2716^2 + 1728^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×10362640³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10362641) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 64687 + ... + 64846.

Almost surely, 2^10362640 is an apocalyptic number.

10362640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10362640 is an abundant number, since it is smaller than the sum of its proper divisors (13730684).

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

10362640 is a wasteful number, since it uses less digits than its factorization.

10362640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129546 (or 129540 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 10362640 is about 3219.1054658088. The cubic root of 10362640 is about 218.0168884035.

Adding to 10362640 its reverse (4626301), we get a palindrome (14988941).

The spelling of 10362640 in words is "ten million, three hundred sixty-two thousand, six hundred forty".