11526540 has 48 divisors (see below), whose sum is σ = 33976320. Its totient is φ = 2911680.

The previous prime is 11526533. The next prime is 11526547. The reversal of 11526540 is 4562511.

It is an interprime number because it is at equal distance from previous prime (11526533) and next prime (11526547).

It is a super-2 number, since 2×11526540² = 265722248743200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11526540.

It is not an unprimeable number, because it can be changed into a prime (11526547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3916 + ... + 6195.

It is an arithmetic number, because the mean of its divisors is an integer number (707840).

Almost surely, 2^11526540 is an apocalyptic number.

11526540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11526540 is an abundant number, since it is smaller than the sum of its proper divisors (22449780).

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

11526540 is a wasteful number, since it uses less digits than its factorization.

11526540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10142 (or 10140 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 11526540 is about 3395.0758459864. The cubic root of 11526540 is about 225.8913775659.

The spelling of 11526540 in words is "eleven million, five hundred twenty-six thousand, five hundred forty".