1011880 has 32 divisors (see below), whose sum is σ = 2336040. Its totient is φ = 394240.

The previous prime is 1011827. The next prime is 1011889. The reversal of 1011880 is 881101.

1011880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 248004 + 763876 = 498^2 + 874^2 .

It is a super-2 number, since 2×1011880² = 2047802268800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1011889) 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, 1332 + ... + 1948.

2^1011880 is an apocalyptic number.

1011880 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 1011880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168020).

1011880 is an abundant number, since it is smaller than the sum of its proper divisors (1324160).

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

1011880 is a wasteful number, since it uses less digits than its factorization.

1011880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

The square root of 1011880 is about 1005.9224622206. The cubic root of 1011880 is about 100.3944421086.

Adding to 1011880 its reverse (881101), we get a palindrome (1892981).

It can be divided in two parts, 1011 and 880, that added together give a triangular number (1891 = T₆₁).

The spelling of 1011880 in words is "one million, eleven thousand, eight hundred eighty".