10827468 has 36 divisors (see below), whose sum is σ = 27784120. Its totient is φ = 3555288.

The previous prime is 10827449. The next prime is 10827491. The reversal of 10827468 is 86472801.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10827468 is digitally balanced in base 2 and base 4, because in such bases 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 (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161571 + ... + 161637.

Almost surely, 2^10827468 is an apocalyptic number.

10827468 is a gapful number since it is divisible by the number (18) 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 10827468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13892060).

10827468 is an abundant number, since it is smaller than the sum of its proper divisors (16956652).

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

10827468 is an frugal number, since it uses more digits than its factorization.

10827468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 10827468 is about 3290.5118142927. The cubic root of 10827468 is about 221.2291256759.

10827468 divided by its sum of digits (36) gives a cube (300763 = 67³).

The spelling of 10827468 in words is "ten million, eight hundred twenty-seven thousand, four hundred sixty-eight".