990934560 has 576 divisors, whose sum is σ = 4385332224. Its totient is φ = 205286400.

The previous prime is 990934541. The next prime is 990934577. The reversal of 990934560 is 65439099.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2993595 + ... + 2993925.

It is an arithmetic number, because the mean of its divisors is an integer number (7613424).

Almost surely, 2^990934560 is an apocalyptic number.

990934560 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 990934560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192666112).

990934560 is an abundant number, since it is smaller than the sum of its proper divisors (3394397664).

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

990934560 is a wasteful number, since it uses less digits than its factorization.

990934560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 990934560 is about 31479.1130751805. The cubic root of 990934560 is about 996.9690090423.

The spelling of 990934560 in words is "nine hundred ninety million, nine hundred thirty-four thousand, five hundred sixty".