95577216 has 192 divisors, whose sum is σ = 307909440. Its totient is φ = 25712640.

The previous prime is 95577211. The next prime is 95577233. The reversal of 95577216 is 61277559.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (95577211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2583150 + ... + 2583186.

It is an arithmetic number, because the mean of its divisors is an integer number (1603695).

Almost surely, 2^95577216 is an apocalyptic number.

95577216 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 95577216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153954720).

95577216 is an abundant number, since it is smaller than the sum of its proper divisors (212332224).

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

95577216 is a wasteful number, since it uses less digits than its factorization.

95577216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 80 counting only the distinct ones).

The product of its digits is 132300, while the sum is 42.

The square root of 95577216 is about 9776.3600588358. The cubic root of 95577216 is about 457.2125316421.

The spelling of 95577216 in words is "ninety-five million, five hundred seventy-seven thousand, two hundred sixteen".