10589040 has 240 divisors, whose sum is σ = 44568576. Its totient is φ = 2188800.

The previous prime is 10589027. The next prime is 10589063. The reversal of 10589040 is 4098501.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10589040² = 224255536243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10588995 and 10589013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55345 + ... + 55535.

Almost surely, 2^10589040 is an apocalyptic number.

10589040 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 10589040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22284288).

10589040 is an abundant number, since it is smaller than the sum of its proper divisors (33979536).

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

10589040 is a wasteful number, since it uses less digits than its factorization.

10589040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 219 counting only the distinct ones).

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

The square root of 10589040 is about 3254.0805152915. The cubic root of 10589040 is about 219.5931876016.

The spelling of 10589040 in words is "ten million, five hundred eighty-nine thousand, forty".