16002560 has 160 divisors (see below), whose sum is σ = 47139840. Its totient is φ = 5087232.

The previous prime is 16002551. The next prime is 16002563. The reversal of 16002560 is 6520061.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16002563) 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, 340457 + ... + 340503.

It is an arithmetic number, because the mean of its divisors is an integer number (294624).

Almost surely, 2^16002560 is an apocalyptic number.

16002560 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 16002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23569920).

16002560 is an abundant number, since it is smaller than the sum of its proper divisors (31137280).

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

16002560 is an equidigital number, since it uses as much as digits as its factorization.

16002560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 80 counting only the distinct ones).

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

The square root of 16002560 is about 4000.3199872010. The cubic root of 16002560 is about 251.9976484201.

It can be divided in two parts, 1600 and 2560, that multiplied together give a cube (4096000 = 160³).

The spelling of 16002560 in words is "sixteen million, two thousand, five hundred sixty".