10643600 has 120 divisors (see below), whose sum is σ = 29060640. Its totient is φ = 3712000.

The previous prime is 10643593. The next prime is 10643617. The reversal of 10643600 is 634601.

It is a super-2 number, since 2×10643600² = 226572441920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 180371 + ... + 180429.

It is an arithmetic number, because the mean of its divisors is an integer number (242172).

Almost surely, 2^10643600 is an apocalyptic number.

10643600 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 10643600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14530320).

10643600 is an abundant number, since it is smaller than the sum of its proper divisors (18417040).

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

10643600 is a wasteful number, since it uses less digits than its factorization.

10643600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 10643600 is about 3262.4530647965. The cubic root of 10643600 is about 219.9696927948.

It can be divided in two parts, 1064 and 3600, that added together give a palindrome (4664).

The spelling of 10643600 in words is "ten million, six hundred forty-three thousand, six hundred".