11971960 has 192 divisors, whose sum is σ = 37946880. Its totient is φ = 3294720.

The previous prime is 11971943. The next prime is 11971987. The reversal of 11971960 is 6917911.

11971960 = T₁₂₀ + T₁₂₁ + ... + T₄₁₈.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 520509 + ... + 520531.

It is an arithmetic number, because the mean of its divisors is an integer number (197640).

Almost surely, 2^11971960 is an apocalyptic number.

11971960 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 11971960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18973440).

11971960 is an abundant number, since it is smaller than the sum of its proper divisors (25974920).

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

11971960 is a wasteful number, since it uses less digits than its factorization.

11971960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 34.

The square root of 11971960 is about 3460.0520227303. The cubic root of 11971960 is about 228.7643883969.

The spelling of 11971960 in words is "eleven million, nine hundred seventy-one thousand, nine hundred sixty".