95286240 has 384 divisors, whose sum is σ = 400619520. Its totient is φ = 20680704.

The previous prime is 95286221. The next prime is 95286251. The reversal of 95286240 is 4268259.

It is a happy number.

95286240 is a `hidden beast` number, since 9 + 5 + 28 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 95286195 and 95286204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 695452 + ... + 695588.

It is an arithmetic number, because the mean of its divisors is an integer number (1043280).

Almost surely, 2^95286240 is an apocalyptic number.

95286240 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 95286240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200309760).

95286240 is an abundant number, since it is smaller than the sum of its proper divisors (305333280).

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

95286240 is a wasteful number, since it uses less digits than its factorization.

95286240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 95286240 is about 9761.4671028488. The cubic root of 95286240 is about 456.7480795646.

The spelling of 95286240 in words is "ninety-five million, two hundred eighty-six thousand, two hundred forty".