10266760 has 64 divisors (see below), whose sum is σ = 27141120. Its totient is φ = 3421440.

The previous prime is 10266749. The next prime is 10266779. The reversal of 10266760 is 6766201.

10266760 = T₂₀₂₄ + T₂₀₂₅ + ... + T₂₀₂₈.

It is a super-4 number, since 4×10266760⁴ (a number of 29 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 9865 + ... + 10855.

It is an arithmetic number, because the mean of its divisors is an integer number (424080).

Almost surely, 2^10266760 is an apocalyptic number.

10266760 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 10266760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13570560).

10266760 is an abundant number, since it is smaller than the sum of its proper divisors (16874360).

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

10266760 is a wasteful number, since it uses less digits than its factorization.

10266760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 10266760 is about 3204.1785218680. The cubic root of 10266760 is about 217.3424057671.

It can be divided in two parts, 10266 and 760, that added together give a triangular number (11026 = T₁₄₈).

The spelling of 10266760 in words is "ten million, two hundred sixty-six thousand, seven hundred sixty".