10485600 has 144 divisors (see below), whose sum is σ = 36278928. Its totient is φ = 2621440.

The previous prime is 10485599. The next prime is 10485611. The reversal of 10485600 is 658401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40672 + ... + 40928.

It is an arithmetic number, because the mean of its divisors is an integer number (251937).

Almost surely, 2^10485600 is an apocalyptic number.

10485600 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 10485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18139464).

10485600 is an abundant number, since it is smaller than the sum of its proper divisors (25793328).

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

10485600 is a wasteful number, since it uses less digits than its factorization.

10485600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 10485600 is about 3238.1476186240. The cubic root of 10485600 is about 218.8758079034.

The spelling of 10485600 in words is "ten million, four hundred eighty-five thousand, six hundred".