11957764 has 81 divisors (see below), whose sum is σ = 27819477. Its totient is φ = 4481568.

The previous prime is 11957761. The next prime is 11957779. The reversal of 11957764 is 46775911.

The square root of 11957764 is 3458.

It is a perfect power (a square), and thus also a powerful number.

11957764 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in only one way, i.e., 1768900 + 10188864 = 1330^2 + 3192^2 .

It is not an unprimeable number, because it can be changed into a prime (11957761) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 629347 + ... + 629365.

Almost surely, 2^11957764 is an apocalyptic number.

11957764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11957764 is the 3458-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11957764

11957764 is an abundant number, since it is smaller than the sum of its proper divisors (15861713).

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

11957764 is a wasteful number, since it uses less digits than its factorization.

11957764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 41 counting only the distinct ones).

The product of its digits is 52920, while the sum is 40.

The cubic root of 11957764 is about 228.6739319271.

It can be divided in two parts, 11957 and 764, that added together give a palindrome (12721).

The spelling of 11957764 in words is "eleven million, nine hundred fifty-seven thousand, seven hundred sixty-four".