10289760 has 192 divisors, whose sum is σ = 37340352. Its totient is φ = 2359296.

The previous prime is 10289749. The next prime is 10289761. The reversal of 10289760 is 6798201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10289761) 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, 106032 + ... + 106128.

It is an arithmetic number, because the mean of its divisors is an integer number (194481).

Almost surely, 2^10289760 is an apocalyptic number.

10289760 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 10289760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18670176).

10289760 is an abundant number, since it is smaller than the sum of its proper divisors (27050592).

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

10289760 is a wasteful number, since it uses less digits than its factorization.

10289760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 10289760 is about 3207.7655774698. The cubic root of 10289760 is about 217.5045843927.

The spelling of 10289760 in words is "ten million, two hundred eighty-nine thousand, seven hundred sixty".