10285920 has 96 divisors (see below), whose sum is σ = 36015840. Its totient is φ = 2741760.

The previous prime is 10285871. The next prime is 10285921. The reversal of 10285920 is 2958201.

10285920 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 (96).

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 (10285921) 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, 3130 + ... + 5510.

It is an arithmetic number, because the mean of its divisors is an integer number (375165).

Almost surely, 2^10285920 is an apocalyptic number.

10285920 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 10285920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18007920).

10285920 is an abundant number, since it is smaller than the sum of its proper divisors (25729920).

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

10285920 is a wasteful number, since it uses less digits than its factorization.

10285920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2405 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10285920 is about 3207.1669741378. The cubic root of 10285920 is about 217.4775244314.

The spelling of 10285920 in words is "ten million, two hundred eighty-five thousand, nine hundred twenty".