10266480 has 240 divisors, whose sum is σ = 41559840. Its totient is φ = 2322432.

The previous prime is 10266469. The next prime is 10266481. The reversal of 10266480 is 8466201.

10266480 is a `hidden beast` number, since 10 + 2 + 6 + 648 + 0 = 666.

10266480 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×10266480² = 210801223180800, which contains 22 as substring.

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

10266480 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10266481) 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, 105792 + ... + 105888.

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

Almost surely, 2^10266480 is an apocalyptic number.

10266480 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 10266480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20779920).

10266480 is an abundant number, since it is smaller than the sum of its proper divisors (31293360).

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

10266480 is a wasteful number, since it uses less digits than its factorization.

10266480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10266480 is about 3204.1348286238. The cubic root of 10266480 is about 217.3404299271.

The spelling of 10266480 in words is "ten million, two hundred sixty-six thousand, four hundred eighty".