10715760 has 240 divisors, whose sum is σ = 41559840. Its totient is φ = 2534400.

The previous prime is 10715759. The next prime is 10715767. The reversal of 10715760 is 6751701.

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

It is a super-2 number, since 2×10715760² = 229655024755200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10715767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261340 + ... + 261380.

It is an arithmetic number, because the mean of its divisors is an integer number (173166).

Almost surely, 2^10715760 is an apocalyptic number.

10715760 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 10715760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20779920).

10715760 is an abundant number, since it is smaller than the sum of its proper divisors (30844080).

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

10715760 is a wasteful number, since it uses less digits than its factorization.

10715760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 10715760 is about 3273.4935466562. The cubic root of 10715760 is about 220.4656802525.

The spelling of 10715760 in words is "ten million, seven hundred fifteen thousand, seven hundred sixty".