10864400 has 60 divisors (see below), whose sum is σ = 26419812. Its totient is φ = 4293120.

The previous prime is 10864397. The next prime is 10864429. The reversal of 10864400 is 446801.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 784 + 10863616 = 28^2 + 3296^2 .

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, 62714 + ... + 62886.

Almost surely, 2^10864400 is an apocalyptic number.

10864400 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 10864400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13209906).

10864400 is an abundant number, since it is smaller than the sum of its proper divisors (15555412).

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

10864400 is a wasteful number, since it uses less digits than its factorization.

10864400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 10864400 is about 3296.1189298932. The cubic root of 10864400 is about 221.4803743820.

The spelling of 10864400 in words is "ten million, eight hundred sixty-four thousand, four hundred".