10071880 has 64 divisors (see below), whose sum is σ = 27901440. Its totient is φ = 3186432.

The previous prime is 10071857. The next prime is 10071889. The reversal of 10071880 is 8817001.

10071880 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

10071880 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (10071889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2257 + ... + 5023.

It is an arithmetic number, because the mean of its divisors is an integer number (435960).

Almost surely, 2^10071880 is an apocalyptic number.

10071880 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 10071880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13950720).

10071880 is an abundant number, since it is smaller than the sum of its proper divisors (17829560).

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

10071880 is a wasteful number, since it uses less digits than its factorization.

10071880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 25.

The square root of 10071880 is about 3173.6225358413. The cubic root of 10071880 is about 215.9584396491.

Adding to 10071880 its reverse (8817001), we get a palindrome (18888881).

The spelling of 10071880 in words is "ten million, seventy-one thousand, eight hundred eighty".