10096640 has 104 divisors (see below), whose sum is σ = 26538840. Its totient is φ = 3670016.

The previous prime is 10096637. The next prime is 10096649. The reversal of 10096640 is 4669001.

It can be written as a sum of positive squares in 4 ways, for example, as 2166784 + 7929856 = 1472^2 + 2816^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10096649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 348146 + ... + 348174.

Almost surely, 2^10096640 is an apocalyptic number.

10096640 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 10096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13269420).

10096640 is an abundant number, since it is smaller than the sum of its proper divisors (16442200).

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

10096640 is an equidigital number, since it uses as much as digits as its factorization.

10096640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 10096640 is about 3177.5210463504. The cubic root of 10096640 is about 216.1352605031.

The spelling of 10096640 in words is "ten million, ninety-six thousand, six hundred forty".