990825160 has 32 divisors (see below), whose sum is σ = 2400846840. Its totient is φ = 365842944.

The previous prime is 990825133. The next prime is 990825169. The reversal of 990825160 is 61528099.

990825160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 425431876 + 565393284 = 20626^2 + 23778^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (990825169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 952197 + ... + 953236.

Almost surely, 2^990825160 is an apocalyptic number.

It is an amenable number.

990825160 is an abundant number, since it is smaller than the sum of its proper divisors (1410021680).

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

990825160 is a wasteful number, since it uses less digits than its factorization.

990825160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905457 (or 1905453 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 990825160 is about 31477.3753670791. The cubic root of 990825160 is about 996.9323189560.

The spelling of 990825160 in words is "nine hundred ninety million, eight hundred twenty-five thousand, one hundred sixty".