95788000 has 192 divisors, whose sum is σ = 294368256. Its totient is φ = 29760000.

The previous prime is 95787997. The next prime is 95788003. The reversal of 95788000 is 88759.

It is an interprime number because it is at equal distance from previous prime (95787997) and next prime (95788003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95788003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307845 + ... + 308155.

It is an arithmetic number, because the mean of its divisors is an integer number (1533168).

Almost surely, 2^95788000 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 95788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147184128).

95788000 is an abundant number, since it is smaller than the sum of its proper divisors (198580256).

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

95788000 is a wasteful number, since it uses less digits than its factorization.

95788000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The square root of 95788000 is about 9787.1344120738. The cubic root of 95788000 is about 457.5483938575.

It can be divided in two parts, 9578 and 8000, that added together give a triangular number (17578 = T₁₈₇).

The spelling of 95788000 in words is "ninety-five million, seven hundred eighty-eight thousand".