11766282 has 48 divisors (see below), whose sum is σ = 27259680. Its totient is φ = 3373920.

The previous prime is 11766277. The next prime is 11766283. The reversal of 11766282 is 28266711.

It is a super-3 number, since 3×11766282³ (a number of 22 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (11766283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13368 + ... + 14220.

It is an arithmetic number, because the mean of its divisors is an integer number (567910).

Almost surely, 2^11766282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11766282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13629840).

11766282 is an abundant number, since it is smaller than the sum of its proper divisors (15493398).

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

11766282 is a wasteful number, since it uses less digits than its factorization.

11766282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 888 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 11766282 is about 3430.2014518101. The cubic root of 11766282 is about 227.4467580596.

The spelling of 11766282 in words is "eleven million, seven hundred sixty-six thousand, two hundred eighty-two".