59880096 has 144 divisors (see below), whose sum is σ = 185552640. Its totient is φ = 18247680.

The previous prime is 59880083. The next prime is 59880113. The reversal of 59880096 is 69008895.

59880096 is a nontrivial binomial coefficient, being equal to C(10944, 2).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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, 169456 + ... + 169808.

It is an arithmetic number, because the mean of its divisors is an integer number (1288560).

Almost surely, 2^59880096 is an apocalyptic number.

59880096 is the 10943-rd triangular number and also the 5472-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59880096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92776320).

59880096 is an abundant number, since it is smaller than the sum of its proper divisors (125672544).

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

59880096 is a wasteful number, since it uses less digits than its factorization.

59880096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 59880096 is about 7738.2230518382. The cubic root of 59880096 is about 391.2258078248.

The spelling of 59880096 in words is "fifty-nine million, eight hundred eighty thousand, ninety-six".