93969792 has 192 divisors, whose sum is σ = 317391360. Its totient is φ = 26127360.

The previous prime is 93969791. The next prime is 93969797. The reversal of 93969792 is 29796939.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93969791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346617 + ... + 346887.

It is an arithmetic number, because the mean of its divisors is an integer number (1653080).

Almost surely, 2^93969792 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 93969792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158695680).

93969792 is an abundant number, since it is smaller than the sum of its proper divisors (223421568).

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

93969792 is a wasteful number, since it uses less digits than its factorization.

93969792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 326 counting only the distinct ones).

The product of its digits is 1653372, while the sum is 54.

The square root of 93969792 is about 9693.8017310032. The cubic root of 93969792 is about 454.6348831947.

The spelling of 93969792 in words is "ninety-three million, nine hundred sixty-nine thousand, seven hundred ninety-two".