11961540 has 96 divisors (see below), whose sum is σ = 39432960. Its totient is φ = 2999808.

The previous prime is 11961527. The next prime is 11961563. The reversal of 11961540 is 4516911.

11961540 is a `hidden beast` number, since 1 + 1 + 9 + 615 + 40 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8529 + ... + 9831.

It is an arithmetic number, because the mean of its divisors is an integer number (410760).

Almost surely, 2^11961540 is an apocalyptic number.

11961540 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 11961540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19716480).

11961540 is an abundant number, since it is smaller than the sum of its proper divisors (27471420).

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

11961540 is a wasteful number, since it uses less digits than its factorization.

11961540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 11961540 is about 3458.5459372401. The cubic root of 11961540 is about 228.6979994672.

The spelling of 11961540 in words is "eleven million, nine hundred sixty-one thousand, five hundred forty".