59970 has 16 divisors (see below), whose sum is σ = 144000. Its totient is φ = 15984.

The previous prime is 59957. The next prime is 59971. The reversal of 59970 is 7995.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 1999 = 59970 / (5 + 9 + 9 + 7 + 0).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (59971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 970 + ... + 1029.

It is an arithmetic number, because the mean of its divisors is an integer number (9000).

2⁵⁹⁹⁷⁰ is an apocalyptic number.

59970 is an abundant number, since it is smaller than the sum of its proper divisors (84030).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72000).

59970 is a wasteful number, since it uses less digits than its factorization.

59970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009.

The product of its (nonzero) digits is 2835, while the sum is 30.

The square root of 59970 is about 244.8877293782. The cubic root of 59970 is about 39.1421505445.

The spelling of 59970 in words is "fifty-nine thousand, nine hundred seventy".