59642016 has 144 divisors (see below), whose sum is σ = 188455680. Its totient is φ = 16450560.

The previous prime is 59641973. The next prime is 59642027. The reversal of 59642016 is 61024695.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145620 + ... + 146028.

It is an arithmetic number, because the mean of its divisors is an integer number (1308720).

Almost surely, 2^59642016 is an apocalyptic number.

59642016 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 59642016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94227840).

59642016 is an abundant number, since it is smaller than the sum of its proper divisors (128813664).

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

59642016 is a wasteful number, since it uses less digits than its factorization.

59642016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 59642016 is about 7722.8243538229. The cubic root of 59642016 is about 390.7066216297.

The spelling of 59642016 in words is "fifty-nine million, six hundred forty-two thousand, sixteen".