10517040 has 120 divisors (see below), whose sum is σ = 36695568. Its totient is φ = 2799360.

The previous prime is 10517011. The next prime is 10517047. The reversal of 10517040 is 4071501.

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

It is a super-2 number, since 2×10517040² = 221216260723200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10517047) 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, 19170 + ... + 19710.

Almost surely, 2^10517040 is an apocalyptic number.

10517040 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 10517040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18347784).

10517040 is an abundant number, since it is smaller than the sum of its proper divisors (26178528).

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

10517040 is an equidigital number, since it uses as much as digits as its factorization.

10517040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 10517040 is about 3242.9986123956. The cubic root of 10517040 is about 219.0943485386.

Adding to 10517040 its reverse (4071501), we get a palindrome (14588541).

The spelling of 10517040 in words is "ten million, five hundred seventeen thousand, forty".