11782530 has 96 divisors (see below), whose sum is σ = 33598080. Its totient is φ = 2937600.

The previous prime is 11782523. The next prime is 11782541. The reversal of 11782530 is 3528711.

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

It is a junction number, because it is equal to n+sod(n) for n = 11782494 and 11782503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77955 + ... + 78105.

It is an arithmetic number, because the mean of its divisors is an integer number (349980).

Almost surely, 2^11782530 is an apocalyptic number.

11782530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11782530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16799040).

11782530 is an abundant number, since it is smaller than the sum of its proper divisors (21815550).

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

11782530 is a wasteful number, since it uses less digits than its factorization.

11782530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 11782530 is about 3432.5690087746. The cubic root of 11782530 is about 227.5514032701.

It can be divided in two parts, 117825 and 30, that added together give a triangular number (117855 = T₄₈₅).

The spelling of 11782530 in words is "eleven million, seven hundred eighty-two thousand, five hundred thirty".