10661280 has 192 divisors, whose sum is σ = 40642560. Its totient is φ = 2294784.

The previous prime is 10661279. The next prime is 10661281. The reversal of 10661280 is 8216601.

It is an interprime number because it is at equal distance from previous prime (10661279) and next prime (10661281).

It is a super-2 number, since 2×10661280² = 227325782476800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10661280.

It is not an unprimeable number, because it can be changed into a prime (10661281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63757 + ... + 63923.

It is an arithmetic number, because the mean of its divisors is an integer number (211680).

Almost surely, 2^10661280 is an apocalyptic number.

10661280 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 10661280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20321280).

10661280 is an abundant number, since it is smaller than the sum of its proper divisors (29981280).

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

10661280 is a wasteful number, since it uses less digits than its factorization.

10661280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 10661280 is about 3265.1615580243. The cubic root of 10661280 is about 220.0914220590.

Adding to 10661280 its reverse (8216601), we get a palindrome (18877881).

It can be divided in two parts, 1066 and 1280, that added together give a triangular number (2346 = T₆₈).

The spelling of 10661280 in words is "ten million, six hundred sixty-one thousand, two hundred eighty".