10496800 has 36 divisors (see below), whose sum is σ = 25627266. Its totient is φ = 4198400.

The previous prime is 10496791. The next prime is 10496831. The reversal of 10496800 is 869401.

It can be written as a sum of positive squares in 3 ways, for example, as 5779216 + 4717584 = 2404^2 + 2172^2 .

It is a super-2 number, since 2×10496800² = 220365620480000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5761 + ... + 7360.

Almost surely, 2^10496800 is an apocalyptic number.

10496800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10496800 is an abundant number, since it is smaller than the sum of its proper divisors (15130466).

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

10496800 is a wasteful number, since it uses less digits than its factorization.

10496800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13141 (or 13128 counting only the distinct ones).

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

The square root of 10496800 is about 3239.8765408577. The cubic root of 10496800 is about 218.9537095576.

The spelling of 10496800 in words is "ten million, four hundred ninety-six thousand, eight hundred".