1001880 has 144 divisors (see below), whose sum is σ = 3734640. Its totient is φ = 232320.

The previous prime is 1001839. The next prime is 1001911. The reversal of 1001880 is 881001.

1001880 = T₁₆₅ + T₁₆₆ + ... + T₂₁₈.

1001880 = 70² + 71² + ... + 149².

It is a happy number.

1001880 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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43549 + ... + 43571.

It is an arithmetic number, because the mean of its divisors is an integer number (25935).

2^1001880 is an apocalyptic number.

1001880 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 1001880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867320).

1001880 is an abundant number, since it is smaller than the sum of its proper divisors (2732760).

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

1001880 is a wasteful number, since it uses less digits than its factorization.

1001880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 44 counting only the distinct ones).

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

The square root of 1001880 is about 1000.9395586148. The cubic root of 1001880 is about 100.0626274365.

Adding to 1001880 its reverse (881001), we get a palindrome (1882881).

It can be divided in two parts, 1001 and 880, that added together give a palindrome (1881).

The spelling of 1001880 in words is "one million, one thousand, eight hundred eighty".