95061600 has 252 divisors, whose sum is σ = 350079156. Its totient is φ = 25194240.

The previous prime is 95061587. The next prime is 95061601. The reversal of 95061600 is 616059.

95061600 is a `hidden beast` number, since 9 + 50 + 6 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95061601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 583119 + ... + 583281.

It is an arithmetic number, because the mean of its divisors is an integer number (1389203).

Almost surely, 2^95061600 is an apocalyptic number.

95061600 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 95061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175039578).

95061600 is an abundant number, since it is smaller than the sum of its proper divisors (255017556).

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

95061600 is a wasteful number, since it uses less digits than its factorization.

95061600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 95061600 is about 9749.9538460446. The cubic root of 95061600 is about 456.3888649677.

Adding to 95061600 its reverse (616059), we get a palindrome (95677659).

The spelling of 95061600 in words is "ninety-five million, sixty-one thousand, six hundred".