11762064 has 80 divisors (see below), whose sum is σ = 35563200. Its totient is φ = 3711744.

The previous prime is 11762059. The next prime is 11762087. The reversal of 11762064 is 46026711.

11762064 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 a super-2 number, since 2×11762064² = 276692299080192, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7492 + ... + 8924.

It is an arithmetic number, because the mean of its divisors is an integer number (444540).

Almost surely, 2^11762064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11762064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17781600).

11762064 is an abundant number, since it is smaller than the sum of its proper divisors (23801136).

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

11762064 is a wasteful number, since it uses less digits than its factorization.

11762064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 11762064 is about 3429.5865640045. The cubic root of 11762064 is about 227.4195762903.

Adding to 11762064 its reverse (46026711), we get a palindrome (57788775).

It can be divided in two parts, 1176 and 2064, that added together give a triangular number (3240 = T₈₀).

The spelling of 11762064 in words is "eleven million, seven hundred sixty-two thousand, sixty-four".