990763488 has 360 divisors, whose sum is σ = 3463342344. Its totient is φ = 277136640.

The previous prime is 990763481. The next prime is 990763507. The reversal of 990763488 is 884367099.

990763488 is a `hidden beast` number, since 9 + 90 + 76 + 3 + 488 = 666.

It is a super-4 number, since 4×990763488⁴ (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990763481) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 76212570 + ... + 76212582.

Almost surely, 2^990763488 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 990763488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731671172).

990763488 is an abundant number, since it is smaller than the sum of its proper divisors (2472578856).

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

990763488 is an equidigital number, since it uses as much as digits as its factorization.

990763488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 990763488 is about 31476.3957275924. The cubic root of 990763488 is about 996.9116344841.

The spelling of 990763488 in words is "nine hundred ninety million, seven hundred sixty-three thousand, four hundred eighty-eight".