11730264 has 128 divisors (see below), whose sum is σ = 37255680. Its totient is φ = 2995200.

The previous prime is 11730263. The next prime is 11730281. The reversal of 11730264 is 46203711.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11730263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89479 + ... + 89609.

It is an arithmetic number, because the mean of its divisors is an integer number (291060).

Almost surely, 2^11730264 is an apocalyptic number.

11730264 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 11730264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18627840).

11730264 is an abundant number, since it is smaller than the sum of its proper divisors (25525416).

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

11730264 is a wasteful number, since it uses less digits than its factorization.

11730264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 11730264 is about 3424.9472988646. The cubic root of 11730264 is about 227.2144402480.

Adding to 11730264 its reverse (46203711), we get a palindrome (57933975).

It can be divided in two parts, 117 and 30264, that added together give a triangular number (30381 = T₂₄₆).

The spelling of 11730264 in words is "eleven million, seven hundred thirty thousand, two hundred sixty-four".