75638560 has 24 divisors (see below), whose sum is σ = 178696476. Its totient is φ = 30255360.

The previous prime is 75638551. The next prime is 75638561. The reversal of 75638560 is 6583657.

It can be written as a sum of positive squares in 2 ways, for example, as 74857104 + 781456 = 8652^2 + 884^2 .

It is a Smith number, since the sum of its digits (40) 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 (40).

It is not an unprimeable number, because it can be changed into a prime (75638561) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 236211 + ... + 236530.

Almost surely, 2^75638560 is an apocalyptic number.

It is an amenable number.

75638560 is an abundant number, since it is smaller than the sum of its proper divisors (103057916).

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

75638560 is a wasteful number, since it uses less digits than its factorization.

75638560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472756 (or 472748 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 75638560 is about 8697.0431757006. The cubic root of 75638560 is about 422.9098016093.

The spelling of 75638560 in words is "seventy-five million, six hundred thirty-eight thousand, five hundred sixty".