990864160 has 288 divisors, whose sum is σ = 2882912256. Its totient is φ = 319334400.

The previous prime is 990864157. The next prime is 990864163. The reversal of 990864160 is 61468099.

It is an interprime number because it is at equal distance from previous prime (990864157) and next prime (990864163).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990864163) 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, 7802017 + ... + 7802143.

It is an arithmetic number, because the mean of its divisors is an integer number (10010112).

Almost surely, 2^990864160 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 990864160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441456128).

990864160 is an abundant number, since it is smaller than the sum of its proper divisors (1892048096).

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

990864160 is a wasteful number, since it uses less digits than its factorization.

990864160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 990864160 is about 31477.9948535481. The cubic root of 990864160 is about 996.9453989126.

The spelling of 990864160 in words is "nine hundred ninety million, eight hundred sixty-four thousand, one hundred sixty".