96093900 has 162 divisors, whose sum is σ = 350537460. Its totient is φ = 21954240.

The previous prime is 96093883. The next prime is 96093901. The reversal of 96093900 is 939069.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (96093901) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 43011 + ... + 45189.

Almost surely, 2^96093900 is an apocalyptic number.

96093900 is a gapful number since it is divisible by the number (90) 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 96093900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175268730).

96093900 is an abundant number, since it is smaller than the sum of its proper divisors (254443560).

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

96093900 is a wasteful number, since it uses less digits than its factorization.

96093900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 96093900 is about 9802.7496142664. The cubic root of 96093900 is about 458.0349381889.

The spelling of 96093900 in words is "ninety-six million, ninety-three thousand, nine hundred".