93000096 has 96 divisors (see below), whose sum is σ = 310020480. Its totient is φ = 26569728.

The previous prime is 93000067. The next prime is 93000097. The reversal of 93000096 is 69000039.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (93000097) 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, 1641 + ... + 13736.

It is an arithmetic number, because the mean of its divisors is an integer number (3229380).

Almost surely, 2^93000096 is an apocalyptic number.

93000096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155010240).

93000096 is an abundant number, since it is smaller than the sum of its proper divisors (217020384).

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

93000096 is a wasteful number, since it uses less digits than its factorization.

93000096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15403 (or 15389 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 93000096 is about 9643.6557383598. The cubic root of 93000096 is about 453.0656455018.

The spelling of 93000096 in words is "ninety-three million, ninety-six", and thus it is an aban number and an uban number.