16281648 has 100 divisors (see below), whose sum is σ = 49963320. Its totient is φ = 5101056.

The previous prime is 16281647. The next prime is 16281679. The reversal of 16281648 is 84618261.

16281648 is a `hidden beast` number, since 1 + 6 + 2 + 8 + 1 + 648 = 666.

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 zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (16281641) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21663 + ... + 22401.

Almost surely, 2^16281648 is an apocalyptic number.

16281648 is a gapful number since it is divisible by the number (18) 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 16281648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24981660).

16281648 is an abundant number, since it is smaller than the sum of its proper divisors (33681672).

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

16281648 is a wasteful number, since it uses less digits than its factorization.

16281648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 761 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 16281648 is about 4035.0524160164. The cubic root of 16281648 is about 253.4541774955.

It can be divided in two parts, 162 and 81648, that added together give a triangular number (81810 = T₄₀₄).

The spelling of 16281648 in words is "sixteen million, two hundred eighty-one thousand, six hundred forty-eight".