7011648 has 168 divisors, whose sum is σ = 24091392. Its totient is φ = 1907712.

The previous prime is 7011647. The next prime is 7011659. The reversal of 7011648 is 8461107.

It is a happy number.

7011648 is a `hidden beast` number, since 7 + 0 + 11 + 648 = 666.

7011648 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 (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7011647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149161 + ... + 149207.

Almost surely, 2^7011648 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 7011648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12045696).

7011648 is an abundant number, since it is smaller than the sum of its proper divisors (17079744).

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

7011648 is a wasteful number, since it uses less digits than its factorization.

7011648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 7011648 is about 2647.9516611902. The cubic root of 7011648 is about 191.3991633955.

The spelling of 7011648 in words is "seven million, eleven thousand, six hundred forty-eight".