75608940 has 96 divisors (see below), whose sum is σ = 233291520. Its totient is φ = 18144000.

The previous prime is 75608927. The next prime is 75608941. The reversal of 75608940 is 4980657.

It is not an unprimeable number, because it can be changed into a prime (75608941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71415 + ... + 72465.

It is an arithmetic number, because the mean of its divisors is an integer number (2430120).

Almost surely, 2^75608940 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 75608940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116645760).

75608940 is an abundant number, since it is smaller than the sum of its proper divisors (157682580).

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

75608940 is a wasteful number, since it uses less digits than its factorization.

75608940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 75608940 is about 8695.3401313577. The cubic root of 75608940 is about 422.8545906878.

The spelling of 75608940 in words is "seventy-five million, six hundred eight thousand, nine hundred forty".