10385280 has 128 divisors (see below), whose sum is σ = 36842400. Its totient is φ = 2764800.

The previous prime is 10385273. The next prime is 10385281. The reversal of 10385280 is 8258301.

It is a happy number.

10385280 is a `hidden beast` number, since 1 + 0 + 385 + 280 = 666.

10385280 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 (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10385281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16980 + ... + 17580.

Almost surely, 2^10385280 is an apocalyptic number.

10385280 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 10385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18421200).

10385280 is an abundant number, since it is smaller than the sum of its proper divisors (26457120).

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

10385280 is an equidigital number, since it uses as much as digits as its factorization.

10385280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 10385280 is about 3222.6200520694. The cubic root of 10385280 is about 218.1755452742.

The spelling of 10385280 in words is "ten million, three hundred eighty-five thousand, two hundred eighty".