10825400 has 48 divisors (see below), whose sum is σ = 25444800. Its totient is φ = 4282880.

The previous prime is 10825361. The next prime is 10825411. The reversal of 10825400 is 452801.

10825400 = 646² + 647² + ... + 670².

10825400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 22361 + ... + 22839.

It is an arithmetic number, because the mean of its divisors is an integer number (530100).

Almost surely, 2^10825400 is an apocalyptic number.

10825400 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 10825400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12722400).

10825400 is an abundant number, since it is smaller than the sum of its proper divisors (14619400).

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

10825400 is a wasteful number, since it uses less digits than its factorization.

10825400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 10825400 is about 3290.1975624573. The cubic root of 10825400 is about 221.2150401741.

The spelling of 10825400 in words is "ten million, eight hundred twenty-five thousand, four hundred".