95279616 has 240 divisors, whose sum is σ = 306408960. Its totient is φ = 28385280.

The previous prime is 95279581. The next prime is 95279627. The reversal of 95279616 is 61697259.

It is a happy number.

95279616 is a `hidden beast` number, since 9 + 5 + 27 + 9 + 616 = 666.

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3073521 + ... + 3073551.

It is an arithmetic number, because the mean of its divisors is an integer number (1276704).

Almost surely, 2^95279616 is an apocalyptic number.

95279616 is a gapful number since it is divisible by the number (96) 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 95279616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153204480).

95279616 is an abundant number, since it is smaller than the sum of its proper divisors (211129344).

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

95279616 is a wasteful number, since it uses less digits than its factorization.

95279616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 88 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 95279616 is about 9761.1278036915. The cubic root of 95279616 is about 456.7374954223.

It can be divided in two parts, 9 and 5279616, that added together give a triangular number (5279625 = T₃₂₄₉).

The spelling of 95279616 in words is "ninety-five million, two hundred seventy-nine thousand, six hundred sixteen".