11760000 has 240 divisors, whose sum is σ = 45407340. Its totient is φ = 2688000.

The previous prime is 11759999. The next prime is 11760013. The reversal of 11760000 is 6711.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1679997 + ... + 1680003.

Almost surely, 2^11760000 is an apocalyptic number.

11760000 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 11760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22703670).

11760000 is an abundant number, since it is smaller than the sum of its proper divisors (33647340).

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

11760000 is an frugal number, since it uses more digits than its factorization.

11760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 11760000 is about 3429.2856398964. The cubic root of 11760000 is about 227.4062730281.

Adding to 11760000 its reverse (6711), we get a palindrome (11766711).

The spelling of 11760000 in words is "eleven million, seven hundred sixty thousand".