7958016 has 120 divisors (see below), whose sum is σ = 25214904. Its totient is φ = 2396160.

The previous prime is 7958011. The next prime is 7958021. The reversal of 7958016 is 6108597.

7958016 is a `hidden beast` number, since 79 + 580 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (7958011) and next prime (7958021).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7958011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50610 + ... + 50766.

Almost surely, 2^7958016 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 7958016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12607452).

7958016 is an abundant number, since it is smaller than the sum of its proper divisors (17256888).

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

7958016 is a wasteful number, since it uses less digits than its factorization.

7958016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 7958016 is about 2820.9955689437. The cubic root of 7958016 is about 199.6495195092.

The spelling of 7958016 in words is "seven million, nine hundred fifty-eight thousand, sixteen".