10287936 has 84 divisors (see below), whose sum is σ = 30134052. Its totient is φ = 3354624.

The previous prime is 10287929. The next prime is 10287983. The reversal of 10287936 is 63978201.

10287936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5089536 + 5198400 = 2256^2 + 2280^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10287936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30360 + ... + 30696.

Almost surely, 2^10287936 is an apocalyptic number.

10287936 is a gapful number since it is divisible by the number (16) 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 10287936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15067026).

10287936 is an abundant number, since it is smaller than the sum of its proper divisors (19846116).

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

10287936 is a wasteful number, since it uses less digits than its factorization.

10287936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 10287936 is about 3207.4812548166. The cubic root of 10287936 is about 217.4917317507.

The spelling of 10287936 in words is "ten million, two hundred eighty-seven thousand, nine hundred thirty-six".