990213840 has 480 divisors, whose sum is σ = 4236800256. Its totient is φ = 201277440.

The previous prime is 990213817. The next prime is 990213857. The reversal of 990213840 is 48312099.

990213840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 990213795 and 990213804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2938152 + ... + 2938488.

Almost surely, 2^990213840 is an apocalyptic number.

990213840 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 990213840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118400128).

990213840 is an abundant number, since it is smaller than the sum of its proper divisors (3246586416).

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

990213840 is a wasteful number, since it uses less digits than its factorization.

990213840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 990213840 is about 31467.6634022928. The cubic root of 990213840 is about 996.7272474421.

The spelling of 990213840 in words is "nine hundred ninety million, two hundred thirteen thousand, eight hundred forty".