995904000 has 960 divisors, whose sum is σ = 4647202560. Its totient is φ = 199065600.

The previous prime is 995903977. The next prime is 995904023. The reversal of 995904000 is 409599.

It is an interprime number because it is at equal distance from previous prime (995903977) and next prime (995904023).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52415991 + ... + 52416009.

It is an arithmetic number, because the mean of its divisors is an integer number (4840836).

Almost surely, 2^995904000 is an apocalyptic number.

995904000 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 995904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323601280).

995904000 is an abundant number, since it is smaller than the sum of its proper divisors (3651298560).

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

995904000 is a wasteful number, since it uses less digits than its factorization.

995904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 995904000 is about 31557.9467012669. The cubic root of 995904000 is about 998.6327982780.

The spelling of 995904000 in words is "nine hundred ninety-five million, nine hundred four thousand".