10493600 has 72 divisors (see below), whose sum is σ = 27615420. Its totient is φ = 3870720.

The previous prime is 10493569. The next prime is 10493611. The reversal of 10493600 is 639401.

It can be written as a sum of positive squares in 6 ways, for example, as 1227664 + 9265936 = 1108^2 + 3044^2 .

It is a super-2 number, since 2×10493600² = 220231281920000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9896 + ... + 10904.

Almost surely, 2^10493600 is an apocalyptic number.

10493600 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 10493600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13807710).

10493600 is an abundant number, since it is smaller than the sum of its proper divisors (17121820).

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

10493600 is a wasteful number, since it uses less digits than its factorization.

10493600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 10493600 is about 3239.3826572358. The cubic root of 10493600 is about 218.9314575989.

It can be divided in two parts, 104 and 93600, that multiplied together give a square (9734400 = 3120²).

The spelling of 10493600 in words is "ten million, four hundred ninety-three thousand, six hundred".