7558960 has 40 divisors (see below), whose sum is σ = 18503280. Its totient is φ = 2863872.

The previous prime is 7558949. The next prime is 7558961. The reversal of 7558960 is 698557.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (7558961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 967 + ... + 4006.

It is an arithmetic number, because the mean of its divisors is an integer number (462582).

Almost surely, 2^7558960 is an apocalyptic number.

It is an amenable number.

7558960 is an abundant number, since it is smaller than the sum of its proper divisors (10944320).

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

7558960 is a wasteful number, since it uses less digits than its factorization.

7558960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5005 (or 4999 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The square root of 7558960 is about 2749.3562882973. The cubic root of 7558960 is about 196.2549784394.

The spelling of 7558960 in words is "seven million, five hundred fifty-eight thousand, nine hundred sixty".