10202896 has 40 divisors (see below), whose sum is σ = 22320000. Its totient is φ = 4475520.

The previous prime is 10202893. The next prime is 10202903. The reversal of 10202896 is 69820201.

It is a happy number.

10202896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10202893) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4105 + ... + 6103.

It is an arithmetic number, because the mean of its divisors is an integer number (558000).

Almost surely, 2^10202896 is an apocalyptic number.

10202896 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 10202896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11160000).

10202896 is an abundant number, since it is smaller than the sum of its proper divisors (12117104).

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

10202896 is a wasteful number, since it uses less digits than its factorization.

10202896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 10202896 is about 3194.1972387440. The cubic root of 10202896 is about 216.8908113004.

It can be divided in two parts, 1020 and 2896, that added together give a triangular number (3916 = T₈₈).

The spelling of 10202896 in words is "ten million, two hundred two thousand, eight hundred ninety-six".