59966480 has 80 divisors (see below), whose sum is σ = 168739200. Its totient is φ = 19347456.

The previous prime is 59966449. The next prime is 59966513. The reversal of 59966480 is 8466995.

It is a tau number, because it is divible by the number of its divisors (80).

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, 6371 + ... + 12669.

It is an arithmetic number, because the mean of its divisors is an integer number (2109240).

Almost surely, 2^59966480 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 59966480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84369600).

59966480 is an abundant number, since it is smaller than the sum of its proper divisors (108772720).

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

59966480 is a wasteful number, since it uses less digits than its factorization.

59966480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6336 (or 6330 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 47.

The square root of 59966480 is about 7743.8026834366. The cubic root of 59966480 is about 391.4138470012.

The spelling of 59966480 in words is "fifty-nine million, nine hundred sixty-six thousand, four hundred eighty".