16256000 has 88 divisors (see below), whose sum is σ = 40874496. Its totient is φ = 6451200.

The previous prime is 16255991. The next prime is 16256011. The reversal of 16256000 is 65261.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127937 + ... + 128063.

Almost surely, 2^16256000 is an apocalyptic number.

16256000 is a gapful number since it is divisible by the number (10) 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 16256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20437248).

16256000 is an abundant number, since it is smaller than the sum of its proper divisors (24618496).

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

16256000 is an equidigital number, since it uses as much as digits as its factorization.

16256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 16256000 is about 4031.8730138733. The cubic root of 16256000 is about 253.3210212545.

It can be divided in two parts, 16 and 256000, that multiplied together give a cube (4096000 = 160³).

The spelling of 16256000 in words is "sixteen million, two hundred fifty-six thousand".