578121960 has 192 divisors, whose sum is σ = 1944777600. Its totient is φ = 137260032.

The previous prime is 578121959. The next prime is 578121961. The reversal of 578121960 is 69121875.

It is an interprime number because it is at equal distance from previous prime (578121959) and next prime (578121961).

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

It is not an unprimeable number, because it can be changed into a prime (578121961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 587629 + ... + 588611.

It is an arithmetic number, because the mean of its divisors is an integer number (10129050).

Almost surely, 2^578121960 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 578121960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972388800).

578121960 is an abundant number, since it is smaller than the sum of its proper divisors (1366655640).

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

578121960 is a wasteful number, since it uses less digits than its factorization.

578121960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The square root of 578121960 is about 24044.1668601763. The cubic root of 578121960 is about 833.0540027353.

The spelling of 578121960 in words is "five hundred seventy-eight million, one hundred twenty-one thousand, nine hundred sixty".