995107680 has 360 divisors, whose sum is σ = 4087879488. Its totient is φ = 227308032.

The previous prime is 995107661. The next prime is 995107681. The reversal of 995107680 is 86701599.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (995107681) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 634257 + ... + 635823.

Almost surely, 2^995107680 is an apocalyptic number.

995107680 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 995107680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043939744).

995107680 is an abundant number, since it is smaller than the sum of its proper divisors (3092771808).

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

995107680 is a wasteful number, since it uses less digits than its factorization.

995107680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 995107680 is about 31545.3273877448. The cubic root of 995107680 is about 998.3665599932.

The spelling of 995107680 in words is "nine hundred ninety-five million, one hundred seven thousand, six hundred eighty".