59670960 has 80 divisors (see below), whose sum is σ = 186758880. Its totient is φ = 15759360.

The previous prime is 59670959. The next prime is 59670967. The reversal of 59670960 is 6907695.

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

It is not an unprimeable number, because it can be changed into a prime (59670967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25020 + ... + 27300.

It is an arithmetic number, because the mean of its divisors is an integer number (2334486).

Almost surely, 2^59670960 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 59670960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93379440).

59670960 is an abundant number, since it is smaller than the sum of its proper divisors (127087920).

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

59670960 is a wasteful number, since it uses less digits than its factorization.

59670960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 59670960 is about 7724.6980523513. The cubic root of 59670960 is about 390.7698141259.

The spelling of 59670960 in words is "fifty-nine million, six hundred seventy thousand, nine hundred sixty".