4011264 has 54 divisors (see below), whose sum is σ = 11572106. Its totient is φ = 1336320.

The previous prime is 4011263. The next prime is 4011283. The reversal of 4011264 is 4621104.

4011264 is a `hidden beast` number, since 401 + 1 + 264 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2073600 + 1937664 = 1440^2 + 1392^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4011263) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1434 + ... + 3174.

Almost surely, 2^4011264 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 4011264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5786053).

4011264 is an abundant number, since it is smaller than the sum of its proper divisors (7560842).

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

4011264 is a wasteful number, since it uses less digits than its factorization.

4011264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4011264 is about 2002.8140203224. The cubic root of 4011264 is about 158.8889695955. Note that the first 3 decimals are identical.

Adding to 4011264 its reverse (4621104), we get a palindrome (8632368).

The spelling of 4011264 in words is "four million, eleven thousand, two hundred sixty-four".