59144960 has 216 divisors, whose sum is σ = 176160096. Its totient is φ = 18923520.

The previous prime is 59144959. The next prime is 59144971. The reversal of 59144960 is 6944195.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1442540 + ... + 1442580.

It is an arithmetic number, because the mean of its divisors is an integer number (815556).

Almost surely, 2^59144960 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 59144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88080048).

59144960 is an abundant number, since it is smaller than the sum of its proper divisors (117015136).

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

59144960 is a wasteful number, since it uses less digits than its factorization.

59144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 59144960 is about 7690.5760512461. The cubic root of 59144960 is about 389.6182106351.

The spelling of 59144960 in words is "fifty-nine million, one hundred forty-four thousand, nine hundred sixty".