10274080 has 48 divisors (see below), whose sum is σ = 24486840. Its totient is φ = 4073472.

The previous prime is 10274057. The next prime is 10274087. The reversal of 10274080 is 8047201.

It can be written as a sum of positive squares in 4 ways, for example, as 9217296 + 1056784 = 3036^2 + 1028^2 .

It is not an unprimeable number, because it can be changed into a prime (10274087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24916 + ... + 25324.

Almost surely, 2^10274080 is an apocalyptic number.

10274080 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 10274080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12243420).

10274080 is an abundant number, since it is smaller than the sum of its proper divisors (14212760).

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

10274080 is a wasteful number, since it uses less digits than its factorization.

10274080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 10274080 is about 3205.3205767910. The cubic root of 10274080 is about 217.3940471306.

The spelling of 10274080 in words is "ten million, two hundred seventy-four thousand, eighty".