10856400 has 120 divisors (see below), whose sum is σ = 35518560. Its totient is φ = 2833920.

The previous prime is 10856399. The next prime is 10856401. The reversal of 10856400 is 465801.

10856400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10856399) and next prime (10856401).

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

It is a super-2 number, since 2×10856400² = 235722841920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10856401) 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, 99546 + ... + 99654.

It is an arithmetic number, because the mean of its divisors is an integer number (295988).

Almost surely, 2^10856400 is an apocalyptic number.

10856400 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 10856400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17759280).

10856400 is an abundant number, since it is smaller than the sum of its proper divisors (24662160).

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

10856400 is a wasteful number, since it uses less digits than its factorization.

10856400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 10856400 is about 3294.9051579674. The cubic root of 10856400 is about 221.4259986818.

The spelling of 10856400 in words is "ten million, eight hundred fifty-six thousand, four hundred".