10661760 has 128 divisors (see below), whose sum is σ = 37821600. Its totient is φ = 2838528.

The previous prime is 10661747. The next prime is 10661773. The reversal of 10661760 is 6716601.

It is an interprime number because it is at equal distance from previous prime (10661747) and next prime (10661773).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10661760² = 227346252595200, 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16972 + ... + 17588.

Almost surely, 2^10661760 is an apocalyptic number.

10661760 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 10661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18910800).

10661760 is an abundant number, since it is smaller than the sum of its proper divisors (27159840).

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

10661760 is an equidigital number, since it uses as much as digits as its factorization.

10661760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10661760 is about 3265.2350604512. The cubic root of 10661760 is about 220.0947250488.

The spelling of 10661760 in words is "ten million, six hundred sixty-one thousand, seven hundred sixty".