7115904 has 128 divisors (see below), whose sum is σ = 22032000. Its totient is φ = 2257920.

The previous prime is 7115903. The next prime is 7115921. The reversal of 7115904 is 4095117.

7115904 is a `hidden beast` number, since 71 + 1 + 590 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (7115903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100189 + ... + 100259.

It is an arithmetic number, because the mean of its divisors is an integer number (172125).

Almost surely, 2^7115904 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 7115904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11016000).

7115904 is an abundant number, since it is smaller than the sum of its proper divisors (14916096).

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

7115904 is a wasteful number, since it uses less digits than its factorization.

7115904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 7115904 is about 2667.5651819590. The cubic root of 7115904 is about 192.3431363921.

The spelling of 7115904 in words is "seven million, one hundred fifteen thousand, nine hundred four".