59064096 has 96 divisors (see below), whose sum is σ = 190850688. Its totient is φ = 15575040.

The previous prime is 59064091. The next prime is 59064121. The reversal of 59064096 is 69046095.

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 (39).

It is not an unprimeable number, because it can be changed into a prime (59064091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5356 + ... + 12116.

It is an arithmetic number, because the mean of its divisors is an integer number (1988028).

Almost surely, 2^59064096 is an apocalyptic number.

59064096 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 59064096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95425344).

59064096 is an abundant number, since it is smaller than the sum of its proper divisors (131786592).

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

59064096 is a wasteful number, since it uses less digits than its factorization.

59064096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6794 (or 6786 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 59064096 is about 7685.3169095360. The cubic root of 59064096 is about 389.4405654255.

The spelling of 59064096 in words is "fifty-nine million, sixty-four thousand, ninety-six".