95882820 has 144 divisors (see below), whose sum is σ = 302448384. Its totient is φ = 22668800.

The previous prime is 95882767. The next prime is 95882821. The reversal of 95882820 is 2828859.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95882821) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 341080 + ... + 341360.

It is an arithmetic number, because the mean of its divisors is an integer number (2100336).

Almost surely, 2^95882820 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 95882820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151224192).

95882820 is an abundant number, since it is smaller than the sum of its proper divisors (206565564).

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

95882820 is a wasteful number, since it uses less digits than its factorization.

95882820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 95882820 is about 9791.9773284051. The cubic root of 95882820 is about 457.6993189252.

The spelling of 95882820 in words is "ninety-five million, eight hundred eighty-two thousand, eight hundred twenty".