95238000 has 480 divisors, whose sum is σ = 401349312. Its totient is φ = 20736000.

The previous prime is 95237999. The next prime is 95238041. The reversal of 95238000 is 83259.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2573982 + ... + 2574018.

Almost surely, 2^95238000 is an apocalyptic number.

95238000 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 95238000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200674656).

95238000 is an abundant number, since it is smaller than the sum of its proper divisors (306111312).

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

95238000 is a wasteful number, since it uses less digits than its factorization.

95238000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 95238000 is about 9758.9958499837. The cubic root of 95238000 is about 456.6709881725.

The spelling of 95238000 in words is "ninety-five million, two hundred thirty-eight thousand".