10296800 has 72 divisors (see below), whose sum is σ = 25670232. Its totient is φ = 4032000.

The previous prime is 10296791. The next prime is 10296809. The reversal of 10296800 is 869201.

10296800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10296791) and next prime (10296809).

It is a self number, because there is not a number n which added to its sum of digits gives 10296800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10296809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48695 + ... + 48905.

It is an arithmetic number, because the mean of its divisors is an integer number (356531).

Almost surely, 2^10296800 is an apocalyptic number.

10296800 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 10296800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12835116).

10296800 is an abundant number, since it is smaller than the sum of its proper divisors (15373432).

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

10296800 is a wasteful number, since it uses less digits than its factorization.

10296800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 10296800 is about 3208.8627268863. The cubic root of 10296800 is about 217.5541768418.

The spelling of 10296800 in words is "ten million, two hundred ninety-six thousand, eight hundred".