10289160 has 128 divisors (see below), whose sum is σ = 39225600. Its totient is φ = 2350080.

The previous prime is 10289141. The next prime is 10289161. The reversal of 10289160 is 6198201.

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

It is not an unprimeable number, because it can be changed into a prime (10289161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6880 + ... + 8240.

It is an arithmetic number, because the mean of its divisors is an integer number (306450).

Almost surely, 2^10289160 is an apocalyptic number.

10289160 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 10289160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19612800).

10289160 is an abundant number, since it is smaller than the sum of its proper divisors (28936440).

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

10289160 is a wasteful number, since it uses less digits than its factorization.

10289160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 10289160 is about 3207.6720530628. The cubic root of 10289160 is about 217.5003567176.

The spelling of 10289160 in words is "ten million, two hundred eighty-nine thousand, one hundred sixty".