10604800 has 54 divisors (see below), whose sum is σ = 26264378. Its totient is φ = 4239360.

The previous prime is 10604791. The next prime is 10604809. The reversal of 10604800 is 840601.

It is an interprime number because it is at equal distance from previous prime (10604791) and next prime (10604809).

It can be written as a sum of positive squares in 3 ways, for example, as 262144 + 10342656 = 512^2 + 3216^2 .

It is a super-2 number, since 2×10604800² = 224923566080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10604809) by changing a digit.

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, 5572 + ... + 7228.

Almost surely, 2^10604800 is an apocalyptic number.

10604800 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 10604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13132189).

10604800 is an abundant number, since it is smaller than the sum of its proper divisors (15659578).

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

10604800 is an equidigital number, since it uses as much as digits as its factorization.

10604800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 10604800 is about 3256.5011899276. The cubic root of 10604800 is about 219.7020760725.

The spelling of 10604800 in words is "ten million, six hundred four thousand, eight hundred".