59344416 has 216 divisors, whose sum is σ = 193100544. Its totient is φ = 17233920.

The previous prime is 59344403. The next prime is 59344423. The reversal of 59344416 is 61444395.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1914321 + ... + 1914351.

It is an arithmetic number, because the mean of its divisors is an integer number (893984).

Almost surely, 2^59344416 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 59344416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96550272).

59344416 is an abundant number, since it is smaller than the sum of its proper divisors (133756128).

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

59344416 is a wasteful number, since it uses less digits than its factorization.

59344416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 76 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 59344416 is about 7703.5326961077. The cubic root of 59344416 is about 390.0556922440.

The spelling of 59344416 in words is "fifty-nine million, three hundred forty-four thousand, four hundred sixteen".