93117920 has 96 divisors (see below), whose sum is σ = 255177216. Its totient is φ = 31449600.

The previous prime is 93117911. The next prime is 93117923. The reversal of 93117920 is 2971139.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93117923) 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, 78935 + ... + 80105.

It is an arithmetic number, because the mean of its divisors is an integer number (2658096).

Almost surely, 2^93117920 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 93117920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127588608).

93117920 is an abundant number, since it is smaller than the sum of its proper divisors (162059296).

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

93117920 is a wasteful number, since it uses less digits than its factorization.

93117920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 32.

The square root of 93117920 is about 9649.7626913826. The cubic root of 93117920 is about 453.2568979167.

The spelling of 93117920 in words is "ninety-three million, one hundred seventeen thousand, nine hundred twenty".