16542960 has 160 divisors (see below), whose sum is σ = 60234240. Its totient is φ = 3677184.

The previous prime is 16542947. The next prime is 16542961. The reversal of 16542960 is 6924561.

It is a super-4 number, since 4×16542960⁴ (a number of 30 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16542961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72126 + ... + 72354.

It is an arithmetic number, because the mean of its divisors is an integer number (376464).

Almost surely, 2^16542960 is an apocalyptic number.

16542960 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 16542960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30117120).

16542960 is an abundant number, since it is smaller than the sum of its proper divisors (43691280).

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

16542960 is a wasteful number, since it uses less digits than its factorization.

16542960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 16542960 is about 4067.3037752300. The cubic root of 16542960 is about 254.8029234689.

It can be divided in two parts, 165429 and 60, that multiplied together give a triangular number (9925740 = T₄₄₅₅).

The spelling of 16542960 in words is "sixteen million, five hundred forty-two thousand, nine hundred sixty".