10541880 has 128 divisors (see below), whose sum is σ = 36115200. Its totient is φ = 2733696.

The previous prime is 10541851. The next prime is 10541897. The reversal of 10541880 is 8814501.

10541880 = 320² + 321² + ... + 400².

It is a super-2 number, since 2×10541880² = 222262467868800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46327 + ... + 46553.

It is an arithmetic number, because the mean of its divisors is an integer number (282150).

Almost surely, 2^10541880 is an apocalyptic number.

10541880 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 10541880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18057600).

10541880 is an abundant number, since it is smaller than the sum of its proper divisors (25573320).

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

10541880 is a wasteful number, since it uses less digits than its factorization.

10541880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 10541880 is about 3246.8261425583. The cubic root of 10541880 is about 219.2667045291.

The spelling of 10541880 in words is "ten million, five hundred forty-one thousand, eight hundred eighty".