93217920 has 128 divisors (see below), whose sum is σ = 303747840. Its totient is φ = 24305664.

The previous prime is 93217913. The next prime is 93217921. The reversal of 93217920 is 2971239.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (93217921) 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, 89724 + ... + 90756.

It is an arithmetic number, because the mean of its divisors is an integer number (2373030).

Almost surely, 2^93217920 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 93217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151873920).

93217920 is an abundant number, since it is smaller than the sum of its proper divisors (210529920).

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

93217920 is a wasteful number, since it uses less digits than its factorization.

93217920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 93217920 is about 9654.9427755943. The cubic root of 93217920 is about 453.4190918111.

The spelling of 93217920 in words is "ninety-three million, two hundred seventeen thousand, nine hundred twenty".