96075000 has 288 divisors, whose sum is σ = 377788320. Its totient is φ = 21600000.

The previous prime is 96074969. The next prime is 96075047. The reversal of 96075000 is 57069.

96075000 is a `hidden beast` number, since 9 + 607 + 50 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1574970 + ... + 1575030.

It is an arithmetic number, because the mean of its divisors is an integer number (1311765).

Almost surely, 2^96075000 is an apocalyptic number.

96075000 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 96075000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188894160).

96075000 is an abundant number, since it is smaller than the sum of its proper divisors (281713320).

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

96075000 is a wasteful number, since it uses less digits than its factorization.

96075000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 96075000 is about 9801.7855516227. The cubic root of 96075000 is about 458.0049070494.

The spelling of 96075000 in words is "ninety-six million, seventy-five thousand".