10556400 has 120 divisors (see below), whose sum is σ = 35672320. Its totient is φ = 2661120.

The previous prime is 10556389. The next prime is 10556401. The reversal of 10556400 is 465501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10556400² = 222875161920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10556401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22569 + ... + 23031.

Almost surely, 2^10556400 is an apocalyptic number.

10556400 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 10556400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17836160).

10556400 is an abundant number, since it is smaller than the sum of its proper divisors (25115920).

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

10556400 is a wasteful number, since it uses less digits than its factorization.

10556400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 10556400 is about 3249.0614029285. The cubic root of 10556400 is about 219.3673283248.

The spelling of 10556400 in words is "ten million, five hundred fifty-six thousand, four hundred".