8727264 has 240 divisors, whose sum is σ = 32443488. Its totient is φ = 2239488.

The previous prime is 8727263. The next prime is 8727269. The reversal of 8727264 is 4627278.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8727263) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 235854 + ... + 235890.

Almost surely, 2^8727264 is an apocalyptic number.

8727264 is a gapful number since it is divisible by the number (84) 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 8727264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16221744).

8727264 is an abundant number, since it is smaller than the sum of its proper divisors (23716224).

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

8727264 is a wasteful number, since it uses less digits than its factorization.

8727264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 62 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 8727264 is about 2954.1943064057. The cubic root of 8727264 is about 205.8856310514.

The spelling of 8727264 in words is "eight million, seven hundred twenty-seven thousand, two hundred sixty-four".