59954560 has 64 divisors (see below), whose sum is σ = 149597280. Its totient is φ = 22933504.

The previous prime is 59954551. The next prime is 59954567. The reversal of 59954560 is 6545995.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59954567) 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 7 ways as a sum of consecutive naturals, for example, 12684 + ... + 16756.

Almost surely, 2^59954560 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 59954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74798640).

59954560 is an abundant number, since it is smaller than the sum of its proper divisors (89642720).

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

59954560 is a wasteful number, since it uses less digits than its factorization.

59954560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4115 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 43.

The square root of 59954560 is about 7743.0329974759. The cubic root of 59954560 is about 391.3879104990.

The spelling of 59954560 in words is "fifty-nine million, nine hundred fifty-four thousand, five hundred sixty".