59089968 has 180 divisors, whose sum is σ = 198488784. Its totient is φ = 16070400.

The previous prime is 59089903. The next prime is 59089991. The reversal of 59089968 is 86998095.

It is a Cunningham number, because it is equal to 7687²-1.

59089968 is a Rhonda number in base 15.

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, 968658 + ... + 968718.

Almost surely, 2^59089968 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 59089968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99244392).

59089968 is an abundant number, since it is smaller than the sum of its proper divisors (139398816).

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

59089968 is a wasteful number, since it uses less digits than its factorization.

59089968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The square root of 59089968 is about 7686.9999349551. Note that the first 4 decimals coincide. The cubic root of 59089968 is about 389.4974196804.

It can be divided in two parts, 5908 and 9968, that added together give a square (15876 = 126²).

The spelling of 59089968 in words is "fifty-nine million, eighty-nine thousand, nine hundred sixty-eight".