990534600 has 288 divisors, whose sum is σ = 3821407200. Its totient is φ = 227404800.

The previous prime is 990534593. The next prime is 990534607. The reversal of 990534600 is 6435099.

990534600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (990534593) and next prime (990534607).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (990534607) 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, 374884 + ... + 377516.

It is an arithmetic number, because the mean of its divisors is an integer number (13268775).

Almost surely, 2^990534600 is an apocalyptic number.

990534600 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 990534600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910703600).

990534600 is an abundant number, since it is smaller than the sum of its proper divisors (2830872600).

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

990534600 is a wasteful number, since it uses less digits than its factorization.

990534600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2685 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 990534600 is about 31472.7596502118. The cubic root of 990534600 is about 996.8348591195.

Adding to 990534600 its reverse (6435099), we get a palindrome (996969699).

The spelling of 990534600 in words is "nine hundred ninety million, five hundred thirty-four thousand, six hundred".