10893312 has 96 divisors (see below), whose sum is σ = 32432400. Its totient is φ = 3612672.

The previous prime is 10893293. The next prime is 10893353. The reversal of 10893312 is 21339801.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55198 + ... + 55394.

Almost surely, 2^10893312 is an apocalyptic number.

10893312 is a gapful number since it is divisible by the number (12) 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 10893312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16216200).

10893312 is an abundant number, since it is smaller than the sum of its proper divisors (21539088).

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

10893312 is an equidigital number, since it uses as much as digits as its factorization.

10893312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10893312 is about 3300.5017800328. The cubic root of 10893312 is about 221.6766659015.

It can be divided in two parts, 108 and 93312, that multiplied together give a 9-th power (10077696 = 6⁹).

The spelling of 10893312 in words is "ten million, eight hundred ninety-three thousand, three hundred twelve".