985756080 has 160 divisors (see below), whose sum is σ = 3263648256. Its totient is φ = 245532672.

The previous prime is 985756039. The next prime is 985756091. The reversal of 985756080 is 80657589.

It is a super-3 number, since 3×985756080³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235284 + ... + 239436.

Almost surely, 2^985756080 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 985756080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631824128).

985756080 is an abundant number, since it is smaller than the sum of its proper divisors (2277892176).

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

985756080 is a wasteful number, since it uses less digits than its factorization.

985756080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4235 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The square root of 985756080 is about 31396.7526983285. The cubic root of 985756080 is about 995.2293033127.

It can be divided in two parts, 985 and 756080, that added together give a triangular number (757065 = T₁₂₃₀).

The spelling of 985756080 in words is "nine hundred eighty-five million, seven hundred fifty-six thousand, eighty".