16001160 has 128 divisors (see below), whose sum is σ = 56263680. Its totient is φ = 3564288.

The previous prime is 16001159. The next prime is 16001171. The reversal of 16001160 is 6110061.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35899 + ... + 36341.

It is an arithmetic number, because the mean of its divisors is an integer number (439560).

Almost surely, 2^16001160 is an apocalyptic number.

16001160 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 16001160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28131840).

16001160 is an abundant number, since it is smaller than the sum of its proper divisors (40262520).

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

16001160 is a wasteful number, since it uses less digits than its factorization.

16001160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 16001160 is about 4000.1449973720. The cubic root of 16001160 is about 251.9902994502.

It can be divided in two parts, 16001 and 160, that added together give a palindrome (16161).

The spelling of 16001160 in words is "sixteen million, one thousand, one hundred sixty".