16287264 has 96 divisors (see below), whose sum is σ = 54311040. Its totient is φ = 4651776.

The previous prime is 16287263. The next prime is 16287269. The reversal of 16287264 is 46278261.

16287264 is a `hidden beast` number, since 1 + 628 + 7 + 26 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16287263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4702 + ... + 7394.

It is an arithmetic number, because the mean of its divisors is an integer number (565740).

Almost surely, 2^16287264 is an apocalyptic number.

16287264 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 16287264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27155520).

16287264 is an abundant number, since it is smaller than the sum of its proper divisors (38023776).

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

16287264 is a wasteful number, since it uses less digits than its factorization.

16287264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2705 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 16287264 is about 4035.7482577584. The cubic root of 16287264 is about 253.4833153124.

The spelling of 16287264 in words is "sixteen million, two hundred eighty-seven thousand, two hundred sixty-four".