990093440 has 128 divisors (see below), whose sum is σ = 2750181120. Its totient is φ = 333803520.

The previous prime is 990093431. The next prime is 990093473. The reversal of 990093440 is 44390099.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 990093394 and 990093403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271469 + ... + 275091.

It is an arithmetic number, because the mean of its divisors is an integer number (21485790).

Almost surely, 2^990093440 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 990093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375090560).

990093440 is an abundant number, since it is smaller than the sum of its proper divisors (1760087680).

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

990093440 is a wasteful number, since it uses less digits than its factorization.

990093440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 38.

The square root of 990093440 is about 31465.7502691418. The cubic root of 990093440 is about 996.6868484832.

The spelling of 990093440 in words is "nine hundred ninety million, ninety-three thousand, four hundred forty".