75634560 has 160 divisors (see below), whose sum is σ = 270289800. Its totient is φ = 20155392.

The previous prime is 75634543. The next prime is 75634561. The reversal of 75634560 is 6543657.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75634561) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51111 + ... + 52569.

Almost surely, 2^75634560 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 75634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135144900).

75634560 is an abundant number, since it is smaller than the sum of its proper divisors (194655240).

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

75634560 is a wasteful number, since it uses less digits than its factorization.

75634560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 75634560 is about 8696.8132094463. The cubic root of 75634560 is about 422.9023465537.

The spelling of 75634560 in words is "seventy-five million, six hundred thirty-four thousand, five hundred sixty".