7115648 has 32 divisors (see below), whose sum is σ = 14798160. Its totient is φ = 3401728.

The previous prime is 7115627. The next prime is 7115651. The reversal of 7115648 is 8465117.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×7115648³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1736 + ... + 4152.

Almost surely, 2^7115648 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 7115648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7399080).

7115648 is an abundant number, since it is smaller than the sum of its proper divisors (7682512).

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

7115648 is a wasteful number, since it uses less digits than its factorization.

7115648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454 (or 2442 counting only the distinct ones).

The product of its digits is 6720, while the sum is 32.

The square root of 7115648 is about 2667.5171976953. The cubic root of 7115648 is about 192.3408298014.

The spelling of 7115648 in words is "seven million, one hundred fifteen thousand, six hundred forty-eight".