11272464 has 120 divisors (see below), whose sum is σ = 36908352. Its totient is φ = 3144960.

The previous prime is 11272463. The next prime is 11272501. The reversal of 11272464 is 46427211.

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

It is not an unprimeable number, because it can be changed into a prime (11272463) 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, 53319 + ... + 53529.

Almost surely, 2^11272464 is an apocalyptic number.

11272464 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 11272464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18454176).

11272464 is an abundant number, since it is smaller than the sum of its proper divisors (25635888).

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

11272464 is a wasteful number, since it uses less digits than its factorization.

11272464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 276 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 11272464 is about 3357.4490316310. The cubic root of 11272464 is about 224.2192793194.

Adding to 11272464 its reverse (46427211), we get a palindrome (57699675).

The spelling of 11272464 in words is "eleven million, two hundred seventy-two thousand, four hundred sixty-four".