2136960 has 192 divisors, whose sum is σ = 8592480. Its totient is φ = 479232.

The previous prime is 2136919. The next prime is 2136973. The reversal of 2136960 is 696312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40294 + ... + 40346.

2^2136960 is an apocalyptic number.

2136960 is a gapful number since it is divisible by the number (20) 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 2136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296240).

2136960 is an abundant number, since it is smaller than the sum of its proper divisors (6455520).

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

2136960 is a wasteful number, since it uses less digits than its factorization.

2136960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2136960 is about 1461.8344639527. The cubic root of 2136960 is about 128.8048247360.

The spelling of 2136960 in words is "two million, one hundred thirty-six thousand, nine hundred sixty".