10526400 has 252 divisors, whose sum is σ = 40535352. Its totient is φ = 2580480.

The previous prime is 10526371. The next prime is 10526407. The reversal of 10526400 is 462501.

It is a happy number.

It is a super-2 number, since 2×10526400² = 221610193920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10526407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 244779 + ... + 244821.

It is a vampire number, since it can be written as 2064 ⋅ 5100 (with its own digits).

Almost surely, 2^10526400 is an apocalyptic number.

10526400 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 10526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20267676).

10526400 is an abundant number, since it is smaller than the sum of its proper divisors (30008952).

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

10526400 is a wasteful number, since it uses less digits than its factorization.

10526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10526400 is about 3244.4414003030. The cubic root of 10526400 is about 219.1593261062.

Adding to 10526400 its reverse (462501), we get a palindrome (10988901).

The spelling of 10526400 in words is "ten million, five hundred twenty-six thousand, four hundred".