7970016 has 48 divisors (see below), whose sum is σ = 21279888. Its totient is φ = 2611200.

The previous prime is 7969999. The next prime is 7970021. The reversal of 7970016 is 6100797.

7970016 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5176 + ... + 6536.

It is an arithmetic number, because the mean of its divisors is an integer number (443331).

Almost surely, 2^7970016 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 7970016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10639944).

7970016 is an abundant number, since it is smaller than the sum of its proper divisors (13309872).

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

7970016 is a wasteful number, since it uses less digits than its factorization.

7970016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 7970016 is about 2823.1216764426. The cubic root of 7970016 is about 199.7498205149.

The spelling of 7970016 in words is "seven million, nine hundred seventy thousand, sixteen".