93968550 has 72 divisors (see below), whose sum is σ = 271899264. Its totient is φ = 23129280.

The previous prime is 93968549. The next prime is 93968561. The reversal of 93968550 is 5586939.

93968550 is a `hidden beast` number, since 9 + 3 + 96 + 8 + 550 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 93968496 and 93968505.

It is a congruent number.

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, 2182 + ... + 13881.

Almost surely, 2^93968550 is an apocalyptic number.

93968550 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 93968550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135949632).

93968550 is an abundant number, since it is smaller than the sum of its proper divisors (177930714).

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

93968550 is a wasteful number, since it uses less digits than its factorization.

93968550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16094 (or 16086 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 93968550 is about 9693.7376692378. The cubic root of 93968550 is about 454.6328802141.

The spelling of 93968550 in words is "ninety-three million, nine hundred sixty-eight thousand, five hundred fifty".