11738960 has 40 divisors (see below), whose sum is σ = 28733280. Its totient is φ = 4447872.

The previous prime is 11738933. The next prime is 11738971. The reversal of 11738960 is 6983711.

11738960 = T₁₈₅ + T₁₈₆ + ... + T₄₂₄.

11738960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 11738960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2342 + ... + 5381.

It is an arithmetic number, because the mean of its divisors is an integer number (718332).

Almost surely, 2^11738960 is an apocalyptic number.

11738960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11738960 is an abundant number, since it is smaller than the sum of its proper divisors (16994320).

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

11738960 is a wasteful number, since it uses less digits than its factorization.

11738960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7755 (or 7749 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 11738960 is about 3426.2165722558. The cubic root of 11738960 is about 227.2705733614.

The spelling of 11738960 in words is "eleven million, seven hundred thirty-eight thousand, nine hundred sixty".