10361640 has 64 divisors (see below), whose sum is σ = 31507200. Its totient is φ = 2725632.

The previous prime is 10361633. The next prime is 10361641. The reversal of 10361640 is 4616301.

It is a super-3 number, since 3×10361640³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10361641) 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 15 ways as a sum of consecutive naturals, for example, 8934 + ... + 10026.

It is an arithmetic number, because the mean of its divisors is an integer number (492300).

Almost surely, 2^10361640 is an apocalyptic number.

10361640 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 10361640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15753600).

10361640 is an abundant number, since it is smaller than the sum of its proper divisors (21145560).

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

10361640 is a wasteful number, since it uses less digits than its factorization.

10361640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 10361640 is about 3218.9501394088. The cubic root of 10361640 is about 218.0098752646.

Adding to 10361640 its reverse (4616301), we get a palindrome (14977941).

The spelling of 10361640 in words is "ten million, three hundred sixty-one thousand, six hundred forty".