11780496 has 240 divisors, whose sum is σ = 43330560. Its totient is φ = 2903040.

The previous prime is 11780491. The next prime is 11780501. The reversal of 11780496 is 69408711.

11780496 = T₂₁₅ + T₂₁₆ + ... + T₄₃₁.

It is an interprime number because it is at equal distance from previous prime (11780491) and next prime (11780501).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11780496.

It is not an unprimeable number, because it can be changed into a prime (11780491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 380001 + ... + 380031.

It is an arithmetic number, because the mean of its divisors is an integer number (180544).

Almost surely, 2^11780496 is an apocalyptic number.

11780496 is a gapful number since it is divisible by the number (16) 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 11780496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21665280).

11780496 is an abundant number, since it is smaller than the sum of its proper divisors (31550064).

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

11780496 is a wasteful number, since it uses less digits than its factorization.

11780496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 11780496 is about 3432.2727164373. The cubic root of 11780496 is about 227.5383085672.

The spelling of 11780496 in words is "eleven million, seven hundred eighty thousand, four hundred ninety-six".