59438496 has 96 divisors (see below), whose sum is σ = 170106048. Its totient is φ = 18063360.

The previous prime is 59438459. The next prime is 59438507. The reversal of 59438496 is 69483495.

59438496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120811 + ... + 121301.

It is an arithmetic number, because the mean of its divisors is an integer number (1771938).

Almost surely, 2^59438496 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 59438496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85053024).

59438496 is an abundant number, since it is smaller than the sum of its proper divisors (110667552).

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

59438496 is a wasteful number, since it uses less digits than its factorization.

59438496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 606 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 59438496 is about 7709.6365673098. The cubic root of 59438496 is about 390.2617046889.

The spelling of 59438496 in words is "fifty-nine million, four hundred thirty-eight thousand, four hundred ninety-six".