10087296 has 64 divisors (see below), whose sum is σ = 27152400. Its totient is φ = 3317760.

The previous prime is 10087291. The next prime is 10087303. The reversal of 10087296 is 69278001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10087291) 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 7 ways as a sum of consecutive naturals, for example, 41736 + ... + 41976.

Almost surely, 2^10087296 is an apocalyptic number.

10087296 is a gapful number since it is divisible by the number (16) 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 10087296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13576200).

10087296 is an abundant number, since it is smaller than the sum of its proper divisors (17065104).

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

10087296 is a wasteful number, since it uses less digits than its factorization.

10087296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 10087296 is about 3176.0503774342. The cubic root of 10087296 is about 216.0685653385.

The spelling of 10087296 in words is "ten million, eighty-seven thousand, two hundred ninety-six".