10868400 has 90 divisors (see below), whose sum is σ = 37728860. Its totient is φ = 2897280.

The previous prime is 10868393. The next prime is 10868419. The reversal of 10868400 is 486801.

10868400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2091 + ... + 5109.

Almost surely, 2^10868400 is an apocalyptic number.

10868400 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 10868400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18864430).

10868400 is an abundant number, since it is smaller than the sum of its proper divisors (26860460).

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

10868400 is a wasteful number, since it uses less digits than its factorization.

10868400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3043 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10868400 is about 3296.7256482759. The cubic root of 10868400 is about 221.5075522226.

The spelling of 10868400 in words is "ten million, eight hundred sixty-eight thousand, four hundred".