10071280 has 60 divisors (see below), whose sum is σ = 24380136. Its totient is φ = 3868800.

The previous prime is 10071277. The next prime is 10071287. The reversal of 10071280 is 8217001.

10071280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10071287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76815 + ... + 76945.

Almost surely, 2^10071280 is an apocalyptic number.

10071280 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 10071280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12190068).

10071280 is an abundant number, since it is smaller than the sum of its proper divisors (14308856).

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

10071280 is a wasteful number, since it uses less digits than its factorization.

10071280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 10071280 is about 3173.5280052333. The cubic root of 10071280 is about 215.9541512198.

Adding to 10071280 its reverse (8217001), we get a palindrome (18288281).

The spelling of 10071280 in words is "ten million, seventy-one thousand, two hundred eighty".