10289520 has 120 divisors (see below), whose sum is σ = 35747712. Its totient is φ = 2649600.

The previous prime is 10289501. The next prime is 10289527. The reversal of 10289520 is 2598201.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10289527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22090 + ... + 22550.

Almost surely, 2^10289520 is an apocalyptic number.

10289520 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 10289520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17873856).

10289520 is an abundant number, since it is smaller than the sum of its proper divisors (25458192).

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

10289520 is a wasteful number, since it uses less digits than its factorization.

10289520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 502 counting only the distinct ones).

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

The square root of 10289520 is about 3207.7281680342. The cubic root of 10289520 is about 217.5028933424.

The spelling of 10289520 in words is "ten million, two hundred eighty-nine thousand, five hundred twenty".