7142016 has 64 divisors (see below), whose sum is σ = 21689280. Its totient is φ = 2039808.

The previous prime is 7142011. The next prime is 7142027. The reversal of 7142016 is 6102417.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 7141983 and 7142001.

It is not an unprimeable number, because it can be changed into a prime (7142011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1360 + ... + 4016.

It is an arithmetic number, because the mean of its divisors is an integer number (338895).

Almost surely, 2^7142016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10844640).

7142016 is an abundant number, since it is smaller than the sum of its proper divisors (14547264).

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

7142016 is a wasteful number, since it uses less digits than its factorization.

7142016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2681 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 7142016 is about 2672.4550510720. The cubic root of 7142016 is about 192.5781186288.

The spelling of 7142016 in words is "seven million, one hundred forty-two thousand, sixteen".