11761764 has 72 divisors (see below), whose sum is σ = 32443488. Its totient is φ = 3306240.

The previous prime is 11761759. The next prime is 11761769. The reversal of 11761764 is 46716711.

11761764 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11761759) and next prime (11761769).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (7056) is a multiple of the sum of its prime divisors (336).

11761764 is a modest number, since divided by 1764 gives 1176 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11761769) 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, 48684 + ... + 48924.

It is an arithmetic number, because the mean of its divisors is an integer number (450604).

Almost surely, 2^11761764 is an apocalyptic number.

11761764 is a gapful number since it is divisible by the number (14) 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 11761764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16221744).

11761764 is an abundant number, since it is smaller than the sum of its proper divisors (20681724).

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

11761764 is a wasteful number, since it uses less digits than its factorization.

11761764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 336 counting only the distinct ones).

The product of its digits is 7056, while the sum is 33.

The square root of 11761764 is about 3429.5428266753. The cubic root of 11761764 is about 227.4176427733.

The spelling of 11761764 in words is "eleven million, seven hundred sixty-one thousand, seven hundred sixty-four".