10762560 has 168 divisors, whose sum is σ = 38395656. Its totient is φ = 2764800.

The previous prime is 10762559. The next prime is 10762561. The reversal of 10762560 is 6526701.

It is an interprime number because it is at equal distance from previous prime (10762559) and next prime (10762561).

It can be written as a sum of positive squares in 4 ways, for example, as 5992704 + 4769856 = 2448^2 + 2184^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10762561) 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, 106510 + ... + 106610.

Almost surely, 2^10762560 is an apocalyptic number.

10762560 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 10762560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19197828).

10762560 is an abundant number, since it is smaller than the sum of its proper divisors (27633096).

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

10762560 is a wasteful number, since it uses less digits than its factorization.

10762560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 10762560 is about 3280.6340850512. The cubic root of 10762560 is about 220.7861680056.

The spelling of 10762560 in words is "ten million, seven hundred sixty-two thousand, five hundred sixty".