985268736 has 240 divisors, whose sum is σ = 3011425560. Its totient is φ = 309657600.

The previous prime is 985268723. The next prime is 985268741. The reversal of 985268736 is 637862589.

985268736 = T₅₁₅₉ + T₅₁₆₀ + ... + T₅₂₃₁.

It is a happy number.

985268736 is a `hidden beast` number, since 9 + 8 + 526 + 87 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 982446336 + 2822400 = 31344^2 + 1680^2 .

It is a congruent number.

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, 9755086 + ... + 9755186.

Almost surely, 2^985268736 is an apocalyptic number.

985268736 is a gapful number since it is divisible by the number (96) 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 985268736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505712780).

985268736 is an abundant number, since it is smaller than the sum of its proper divisors (2026156824).

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

985268736 is a wasteful number, since it uses less digits than its factorization.

985268736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 208 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 985268736 is about 31388.9906814475. The cubic root of 985268736 is about 995.0652671344.

The spelling of 985268736 in words is "nine hundred eighty-five million, two hundred sixty-eight thousand, seven hundred thirty-six".