59408896 has 80 divisors (see below), whose sum is σ = 129634560. Its totient is φ = 27095040.

The previous prime is 59408887. The next prime is 59408903. The reversal of 59408896 is 69880495.

It is a happy number.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 301470 + ... + 301666.

It is an arithmetic number, because the mean of its divisors is an integer number (1620432).

Almost surely, 2^59408896 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 59408896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64817280).

59408896 is an abundant number, since it is smaller than the sum of its proper divisors (70225664).

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

59408896 is a wasteful number, since it uses less digits than its factorization.

59408896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

The square root of 59408896 is about 7707.7166528097. The cubic root of 59408896 is about 390.1969113011.

The spelling of 59408896 in words is "fifty-nine million, four hundred eight thousand, eight hundred ninety-six".