11288540 has 24 divisors (see below), whose sum is σ = 24524640. Its totient is φ = 4359488.

The previous prime is 11288539. The next prime is 11288549. The reversal of 11288540 is 4588211.

It is a super-2 number, since 2×11288540² = 254862270663200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11288549) 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, 9152 + ... + 10311.

It is an arithmetic number, because the mean of its divisors is an integer number (1021860).

Almost surely, 2^11288540 is an apocalyptic number.

11288540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11288540 is an abundant number, since it is smaller than the sum of its proper divisors (13236100).

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

11288540 is a wasteful number, since it uses less digits than its factorization.

11288540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19501 (or 19499 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 11288540 is about 3359.8422582020. The cubic root of 11288540 is about 224.3258173095.

It can be divided in two parts, 11 and 288540, that multiplied together give a triangular number (3173940 = T₂₅₁₉).

The spelling of 11288540 in words is "eleven million, two hundred eighty-eight thousand, five hundred forty".