59120096 has 96 divisors (see below), whose sum is σ = 145152000. Its totient is φ = 23127552.

The previous prime is 59120093. The next prime is 59120099. The reversal of 59120096 is 69002195.

It is an interprime number because it is at equal distance from previous prime (59120093) and next prime (59120099).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59120093) 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, 123185 + ... + 123663.

It is an arithmetic number, because the mean of its divisors is an integer number (1512000).

Almost surely, 2^59120096 is an apocalyptic number.

59120096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59120096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72576000).

59120096 is an abundant number, since it is smaller than the sum of its proper divisors (86031904).

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

59120096 is a wasteful number, since it uses less digits than its factorization.

59120096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 32.

The square root of 59120096 is about 7688.9593574163. The cubic root of 59120096 is about 389.5636056724.

The spelling of 59120096 in words is "fifty-nine million, one hundred twenty thousand, ninety-six".