7117488 has 120 divisors (see below), whose sum is σ = 23831808. Its totient is φ = 1938816.

The previous prime is 7117483. The next prime is 7117501. The reversal of 7117488 is 8847117.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (7117483) 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 23 ways as a sum of consecutive naturals, for example, 23031 + ... + 23337.

Almost surely, 2^7117488 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 7117488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11915904).

7117488 is an abundant number, since it is smaller than the sum of its proper divisors (16714320).

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

7117488 is a wasteful number, since it uses less digits than its factorization.

7117488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 342 counting only the distinct ones).

The product of its digits is 12544, while the sum is 36.

The square root of 7117488 is about 2667.8620653999. The cubic root of 7117488 is about 192.3574071919.

The spelling of 7117488 in words is "seven million, one hundred seventeen thousand, four hundred eighty-eight".