11976540 has 96 divisors (see below), whose sum is σ = 35610624. Its totient is φ = 3002880.

The previous prime is 11976539. The next prime is 11976541. The reversal of 11976540 is 4567911.

It is an interprime number because it is at equal distance from previous prime (11976539) and next prime (11976541).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11976541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87352 + ... + 87488.

It is an arithmetic number, because the mean of its divisors is an integer number (370944).

Almost surely, 2^11976540 is an apocalyptic number.

11976540 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 11976540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17805312).

11976540 is an abundant number, since it is smaller than the sum of its proper divisors (23634084).

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

11976540 is a wasteful number, since it uses less digits than its factorization.

11976540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 11976540 is about 3460.7137992039. The cubic root of 11976540 is about 228.7935567570.

It can be divided in two parts, 119765 and 40, that added together give a triangular number (119805 = T₄₈₉).

The spelling of 11976540 in words is "eleven million, nine hundred seventy-six thousand, five hundred forty".