95785920 has 168 divisors, whose sum is σ = 334426560. Its totient is φ = 25159680.

The previous prime is 95785913. The next prime is 95785951. The reversal of 95785920 is 2958759.

It is a happy number.

95785920 is a `hidden beast` number, since 9 + 57 + 8 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227310 + ... + 227730.

Almost surely, 2^95785920 is an apocalyptic number.

95785920 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 95785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167213280).

95785920 is an abundant number, since it is smaller than the sum of its proper divisors (238640640).

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

95785920 is a wasteful number, since it uses less digits than its factorization.

95785920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 95785920 is about 9787.0281495457. The cubic root of 95785920 is about 457.5450820038.

The spelling of 95785920 in words is "ninety-five million, seven hundred eighty-five thousand, nine hundred twenty".