10894200 has 96 divisors (see below), whose sum is σ = 34402560. Its totient is φ = 2851200.

The previous prime is 10894189. The next prime is 10894253. The reversal of 10894200 is 249801.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40065 + ... + 40335.

It is an arithmetic number, because the mean of its divisors is an integer number (358360).

Almost surely, 2^10894200 is an apocalyptic number.

10894200 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 10894200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17201280).

10894200 is an abundant number, since it is smaller than the sum of its proper divisors (23508360).

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

10894200 is a wasteful number, since it uses less digits than its factorization.

10894200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 10894200 is about 3300.6363022908. The cubic root of 10894200 is about 221.6826892772.

It can be divided in two parts, 1089 and 4200, that multiplied together give a triangular number (4573800 = T₃₀₂₄).

The spelling of 10894200 in words is "ten million, eight hundred ninety-four thousand, two hundred".