995563968 has 336 divisors, whose sum is σ = 3283610400. Its totient is φ = 264929280.

The previous prime is 995563967. The next prime is 995563991. The reversal of 995563968 is 869365599.

995563968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×995563968² = 1982295228759810048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (995563963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11186068 + ... + 11186156.

It is an arithmetic number, because the mean of its divisors is an integer number (9772650).

Almost surely, 2^995563968 is an apocalyptic number.

995563968 is a gapful number since it is divisible by the number (98) 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 995563968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641805200).

995563968 is an abundant number, since it is smaller than the sum of its proper divisors (2288046432).

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

995563968 is a wasteful number, since it uses less digits than its factorization.

995563968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 171 counting only the distinct ones).

The product of its digits is 15746400, while the sum is 60.

The square root of 995563968 is about 31552.5588185808. The cubic root of 995563968 is about 998.5191307755.

The spelling of 995563968 in words is "nine hundred ninety-five million, five hundred sixty-three thousand, nine hundred sixty-eight".