11252880 has 60 divisors (see below), whose sum is σ = 37793340. Its totient is φ = 3000576.

The previous prime is 11252867. The next prime is 11252903. The reversal of 11252880 is 8825211.

It can be written as a sum of positive squares in 2 ways, for example, as 8856576 + 2396304 = 2976^2 + 1548^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 7095 + ... + 8534.

It is an arithmetic number, because the mean of its divisors is an integer number (629889).

Almost surely, 2^11252880 is an apocalyptic number.

11252880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11252880 is an abundant number, since it is smaller than the sum of its proper divisors (26540460).

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

11252880 is a wasteful number, since it uses less digits than its factorization.

11252880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15648 (or 15639 counting only the distinct ones).

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

The square root of 11252880 is about 3354.5312638281. The cubic root of 11252880 is about 224.0893563567.

It can be divided in two parts, 1125 and 2880, that multiplied together give a square (3240000 = 1800²).

The spelling of 11252880 in words is "eleven million, two hundred fifty-two thousand, eight hundred eighty".