10642600 has 48 divisors (see below), whose sum is σ = 24998400. Its totient is φ = 4213440.

The previous prime is 10642591. The next prime is 10642607. The reversal of 10642600 is 624601.

It is a super-2 number, since 2×10642600² = 226529869520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10642607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25191 + ... + 25609.

It is an arithmetic number, because the mean of its divisors is an integer number (520800).

Almost surely, 2^10642600 is an apocalyptic number.

10642600 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 10642600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12499200).

10642600 is an abundant number, since it is smaller than the sum of its proper divisors (14355800).

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

10642600 is a wasteful number, since it uses less digits than its factorization.

10642600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 10642600 is about 3262.2998022867. The cubic root of 10642600 is about 219.9628036288.

The spelling of 10642600 in words is "ten million, six hundred forty-two thousand, six hundred".