93966000 has 80 divisors (see below), whose sum is σ = 302965728. Its totient is φ = 25056000.

The previous prime is 93965951. The next prime is 93966007. The reversal of 93966000 is 66939.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93966007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1831 + ... + 13830.

Almost surely, 2^93966000 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 93966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151482864).

93966000 is an abundant number, since it is smaller than the sum of its proper divisors (208999728).

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

93966000 is a wasteful number, since it uses less digits than its factorization.

93966000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15687 (or 15671 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 93966000 is about 9693.6061401318. The cubic root of 93966000 is about 454.6287677590.

The spelling of 93966000 in words is "ninety-three million, nine hundred sixty-six thousand".