10001880 has 224 divisors, whose sum is σ = 39348000. Its totient is φ = 2286144.

The previous prime is 10001861. The next prime is 10001881. The reversal of 10001880 is 8810001.

It is a happy number.

10001880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001881) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1428837 + ... + 1428843.

Almost surely, 2^10001880 is an apocalyptic number.

10001880 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 10001880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19674000).

10001880 is an abundant number, since it is smaller than the sum of its proper divisors (29346120).

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

10001880 is an frugal number, since it uses more digits than its factorization.

10001880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 10001880 is about 3162.5749002988. The cubic root of 10001880 is about 215.4569692813.

Adding to 10001880 its reverse (8810001), we get a palindrome (18811881).

The spelling of 10001880 in words is "ten million, one thousand, eight hundred eighty".