59620480 has 64 divisors (see below), whose sum is σ = 150062400. Its totient is φ = 22588416.

The previous prime is 59620447. The next prime is 59620501. The reversal of 59620480 is 8402695.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9709 + ... + 14611.

It is an arithmetic number, because the mean of its divisors is an integer number (2344725).

Almost surely, 2^59620480 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 59620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75031200).

59620480 is an abundant number, since it is smaller than the sum of its proper divisors (90441920).

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

59620480 is a wasteful number, since it uses less digits than its factorization.

59620480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4941 (or 4929 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 59620480 is about 7721.4299193867. The cubic root of 59620480 is about 390.6595895130.

The spelling of 59620480 in words is "fifty-nine million, six hundred twenty thousand, four hundred eighty".