985946520 has 128 divisors (see below), whose sum is σ = 3323980800. Its totient is φ = 232134144.

The previous prime is 985946513. The next prime is 985946531. The reversal of 985946520 is 25649589.

It is a super-2 number, since 2×985946520² = 1944181080600220800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 985946520.

It is a congruent number.

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, 22141 + ... + 49619.

It is an arithmetic number, because the mean of its divisors is an integer number (25968600).

Almost surely, 2^985946520 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 985946520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661990400).

985946520 is an abundant number, since it is smaller than the sum of its proper divisors (2338034280).

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

985946520 is a wasteful number, since it uses less digits than its factorization.

985946520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27529 (or 27525 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The square root of 985946520 is about 31399.7853495848. The cubic root of 985946520 is about 995.2933892357.

The spelling of 985946520 in words is "nine hundred eighty-five million, nine hundred forty-six thousand, five hundred twenty".