995756160 has 256 divisors, whose sum is σ = 3713909760. Its totient is φ = 222179328.

The previous prime is 995756137. The next prime is 995756197. The reversal of 995756160 is 61657599.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 577059 + ... + 578781.

It is an arithmetic number, because the mean of its divisors is an integer number (14507460).

Almost surely, 2^995756160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 995756160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856954880).

995756160 is an abundant number, since it is smaller than the sum of its proper divisors (2718153600).

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

995756160 is a wasteful number, since it uses less digits than its factorization.

995756160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 48.

The square root of 995756160 is about 31555.6042566134. The cubic root of 995756160 is about 998.5833808043.

The spelling of 995756160 in words is "nine hundred ninety-five million, seven hundred fifty-six thousand, one hundred sixty".