11780640 has 168 divisors, whose sum is σ = 42141708. Its totient is φ = 3110400.

The previous prime is 11780617. The next prime is 11780687. The reversal of 11780640 is 4608711.

It is a happy number.

11780640 is a `hidden beast` number, since 1 + 17 + 8 + 0 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11209104 + 571536 = 3348^2 + 756^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 116590 + ... + 116690.

Almost surely, 2^11780640 is an apocalyptic number.

11780640 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 11780640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21070854).

11780640 is an abundant number, since it is smaller than the sum of its proper divisors (30361068).

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

11780640 is an equidigital number, since it uses as much as digits as its factorization.

11780640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 11780640 is about 3432.2936937273. The cubic root of 11780640 is about 227.5392356754.

The spelling of 11780640 in words is "eleven million, seven hundred eighty thousand, six hundred forty".