996526080 has 288 divisors, whose sum is σ = 3771593280. Its totient is φ = 241336320.

The previous prime is 996526057. The next prime is 996526099. The reversal of 996526080 is 80625699.

It is a tau number, because it is divible by the number of its divisors (288).

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 23 ways as a sum of consecutive naturals, for example, 1013269 + ... + 1014251.

It is an arithmetic number, because the mean of its divisors is an integer number (13095810).

Almost surely, 2^996526080 is an apocalyptic number.

996526080 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 996526080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885796640).

996526080 is an abundant number, since it is smaller than the sum of its proper divisors (2775067200).

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

996526080 is a wasteful number, since it uses less digits than its factorization.

996526080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 996526080 is about 31567.8013171649. The cubic root of 996526080 is about 998.8406831705.

It can be divided in two parts, 996 and 526080, that added together give a square (527076 = 726²).

The spelling of 996526080 in words is "nine hundred ninety-six million, five hundred twenty-six thousand, eighty".