95361120 has 144 divisors (see below), whose sum is σ = 332579520. Its totient is φ = 24870912.

The previous prime is 95361103. The next prime is 95361139. The reversal of 95361120 is 2116359.

95361120 is a `hidden beast` number, since 9 + 536 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 66976 + ... + 68384.

It is an arithmetic number, because the mean of its divisors is an integer number (2309580).

Almost surely, 2^95361120 is an apocalyptic number.

95361120 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 95361120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166289760).

95361120 is an abundant number, since it is smaller than the sum of its proper divisors (237218400).

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

95361120 is a wasteful number, since it uses less digits than its factorization.

95361120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1466 counting only the distinct ones).

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

The square root of 95361120 is about 9765.3018386530. The cubic root of 95361120 is about 456.8676922921.

Adding to 95361120 its reverse (2116359), we get a palindrome (97477479).

It can be divided in two parts, 95361 and 120, that added together give a square (95481 = 309²).

The spelling of 95361120 in words is "ninety-five million, three hundred sixty-one thousand, one hundred twenty".