990516600 has 288 divisors, whose sum is σ = 3503682000. Its totient is φ = 260029440.

The previous prime is 990516599. The next prime is 990516601. The reversal of 990516600 is 6615099.

It is an interprime number because it is at equal distance from previous prime (990516599) and next prime (990516601).

It is a super-2 number, since 2×990516600² = 1962246269751120000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990516601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4325286 + ... + 4325514.

Almost surely, 2^990516600 is an apocalyptic number.

990516600 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 990516600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751841000).

990516600 is an abundant number, since it is smaller than the sum of its proper divisors (2513165400).

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

990516600 is a wasteful number, since it uses less digits than its factorization.

990516600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 328 counting only the distinct ones).

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

The square root of 990516600 is about 31472.4736873351. The cubic root of 990516600 is about 996.8288209201.

The spelling of 990516600 in words is "nine hundred ninety million, five hundred sixteen thousand, six hundred".