995362560 has 288 divisors, whose sum is σ = 3585012480. Its totient is φ = 261476352.

The previous prime is 995362553. The next prime is 995362579. The reversal of 995362560 is 65263599.

995362560 is a `hidden beast` number, since 99 + 536 + 25 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2868307 + ... + 2868653.

It is an arithmetic number, because the mean of its divisors is an integer number (12447960).

Almost surely, 2^995362560 is an apocalyptic number.

995362560 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 995362560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792506240).

995362560 is an abundant number, since it is smaller than the sum of its proper divisors (2589649920).

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

995362560 is a wasteful number, since it uses less digits than its factorization.

995362560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The square root of 995362560 is about 31549.3670301006. The cubic root of 995362560 is about 998.4517909524.

The spelling of 995362560 in words is "nine hundred ninety-five million, three hundred sixty-two thousand, five hundred sixty".