10534400 has 60 divisors (see below), whose sum is σ = 26131512. Its totient is φ = 4208640.

The previous prime is 10534399. The next prime is 10534423. The reversal of 10534400 is 443501.

It is a super-2 number, since 2×10534400² = 221947166720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12389 + ... + 13211.

Almost surely, 2^10534400 is an apocalyptic number.

10534400 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 10534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13065756).

10534400 is an abundant number, since it is smaller than the sum of its proper divisors (15597112).

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

10534400 is an frugal number, since it uses more digits than its factorization.

10534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 10534400 is about 3245.6740440161. The cubic root of 10534400 is about 219.2148319656.

Adding to 10534400 its reverse (443501), we get a palindrome (10977901).

The spelling of 10534400 in words is "ten million, five hundred thirty-four thousand, four hundred".