95096820 has 96 divisors (see below), whose sum is σ = 327737088. Its totient is φ = 20063232.

The previous prime is 95096819. The next prime is 95096821. The reversal of 95096820 is 2869059.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (95096819) and next prime (95096821).

It is a super-2 number, since 2×95096820² = 18086810348224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95096821) 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, 3249 + ... + 14168.

It is an arithmetic number, because the mean of its divisors is an integer number (3413928).

Almost surely, 2^95096820 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 95096820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163868544).

95096820 is an abundant number, since it is smaller than the sum of its proper divisors (232640268).

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

95096820 is a wasteful number, since it uses less digits than its factorization.

95096820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17449 (or 17447 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 95096820 is about 9751.7598411774. The cubic root of 95096820 is about 456.4452215165.

The spelling of 95096820 in words is "ninety-five million, ninety-six thousand, eight hundred twenty".