920785536 has 256 divisors, whose sum is σ = 3027196800. Its totient is φ = 273162240.

The previous prime is 920785517. The next prime is 920785571. The reversal of 920785536 is 635587029.

It is a happy number.

920785536 is a `hidden beast` number, since 9 + 20 + 78 + 553 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 920785491 and 920785500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2014620 + ... + 2015076.

Almost surely, 2^920785536 is an apocalyptic number.

920785536 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 920785536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513598400).

920785536 is an abundant number, since it is smaller than the sum of its proper divisors (2106411264).

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

920785536 is a wasteful number, since it uses less digits than its factorization.

920785536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 920785536 is about 30344.4481907317. The cubic root of 920785536 is about 972.8655603467.

The spelling of 920785536 in words is "nine hundred twenty million, seven hundred eighty-five thousand, five hundred thirty-six".