75608364 has 48 divisors (see below), whose sum is σ = 190667232. Its totient is φ = 23181312.

The previous prime is 75608359. The next prime is 75608371. The reversal of 75608364 is 46380657.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54382 + ... + 55754.

It is an arithmetic number, because the mean of its divisors is an integer number (3972234).

Almost surely, 2^75608364 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 75608364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95333616).

75608364 is an abundant number, since it is smaller than the sum of its proper divisors (115058868).

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

75608364 is a wasteful number, since it uses less digits than its factorization.

75608364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 75608364 is about 8695.3070101061. The cubic root of 75608364 is about 422.8535168956.

The spelling of 75608364 in words is "seventy-five million, six hundred eight thousand, three hundred sixty-four".